# Thread: Are You The One?

1. ## Are You The One?

Anyone else watching this? I actually enjoy it a lot. I like a lot of the cast and definitely the dynamic the show causes when there are no matches.

2. ## Re: Are You The One?

I love this show! It's going to be interesting when they start figuring out some of these matches.

3. ## Re: Are You The One?

It's an interesting take, definitely.

4. ## Re: Are You The One?

I'm glad they finally got a match! I think it is possible to figure out all the matches. We need a math wiz to do all the problem solving with the results.

5. ## Re: Are You The One?

Liking it so far. If they made a big list of who was with who at each ceremony and how many matches at each, they might be able to figure out 1 or 2 more, or at the very least, eliminate some possibilities. After this ep, I can't stand Simone, Shanley, Kayla, or Chris S.

6. ## Re: Are You The One?

I bet there is some math whiz that figured out all 10 matches a week or two ago.

7. ## Re: Are You The One?

*cautiously unlurks for the first time in nearly a year*

If we use just the information given from the Truth Booth and the Match Up ceremonies, there are actually 4 possible solutions.

First spoiler tag is the logic process, the second is the four possible solutions.
Click to see Spoiler:
The first step is to chart out who was paired with whom at each of the Match Up ceremonies, then you mark your "perfect match" and "definitely not" couples on the chart using the information from the Truth Booth. From there, we have to do case-by-case analysis to find possible solutions under each case. Given that Ethan and Amber are pretty close, have been matched up in four of the six Match Up ceremonies, and would be the second and last of the couples matched in Week 3 if correct, that seems like a good case to start with.

Case 1: Ethan and Amber are a pair.

This case gives a lot of information about what pairings are incorrect. It also leaves just 3 possible choices of which pair was the second correct pair in Week 1. Hence, we have 3 mutually exclusive sub-cases.

Case 1.1: Ethan and Amber are a pair. Chris S and Ashleigh are a pair.

This pairing assumption eliminates two pairings in Week 2, leaving 2 known or assumed to be correct, 5 known or assumed to be incorrect, and 3 pairs (Adam and Shanley, Joey and Brittany, John and Jacy) of which only one is incorrect.

If we make the assumption that Adam and Shanley are not a pair, then we eliminate 6 of the pairings at the Week 5 Match Up ceremony. Since we know that 5 matches were correct in Week 5, our assumption must be false.

If we make the assumption that John and Jacy are not a pair, then we (albeit requiring more steps) then we eliminate 6 of the pairings at both the Week 5 and Week 6 Match Up ceremonies. Since we know that 5 were correct at each, our assumption must be false.

Hence, we have to assume that Adam and Shanley are a pair, John and Jacy are a pair, and Joey and Brittany are not a pair. (So, we have 6 pairs known or assumed, with Dre/Joey/Ryan/Wes needing matches with Brittany/Jes/Kayla/Simone.)

This leaves us 2 possible choices of which pair was the fifth correct pair in Week 6 (Joey and Simone, Ryan and Jes).

If we make the assumption that Joey and Simone are a pair, then we have 2 possible choices of which pair was the second correct pair in Week 4. If we assume Ryan and Brittany to be that pair, then we have no possible matches for Wes. If we assume Wes and Jessica to be that pair, then we have no possible matches for Brittany.

So we are left to assume that Ryan and Jes are a pair, and that leaves just one combination of the remaining 3 men and 3 women. This yields our first solution and the only solution from Case 1.1.

Case 1.2: Ethan and Amber are a pair. Dre and Jacy are a pair.

This assumption limits our options in Week 4, giving us just three possible choices of which pair was the second correct pair (John and Shanley, Ryan and Brittany, Wes and Jessica).

If we assume that John and Shanley are the second pair of Week 4, then both Chris S and Simone as well as Joey and Brittany must be pairs in order to have 4 correct matches in Week 2. This also gives us 4 of the five pairings for Week 5 and forces us to conclude that Ryan and Ashleigh are the fifth correct pair for Week 5. However, this gives us 6 incorrect pairings for Week 6. Since we know that 5 matches were correct in Week 6, our assumption must be false.

If we assume that Ryan and Brittany are the second pair of Week 4, then both Adam and Shanley as well as Chris S and Simone must be pairs in order to have 4 correct matches in Week 2. Also, both Adam and Ashleigh as well as Joey and Simone must be pairs in order to have 5 correct matches in Week 6. This creates contradictions with both Adam and Simone that we cannot resolve, so our assumption must be false.

If we assume that Wes and Jessica are the second pair of Week 4, then we have multiple possibilities left open for matches to meet the quotas for Weeks 2, 5, and 6. However, we look more closely at Joey and Simone as a pair and our fourth of the 5 correct pairings of Week 6.

Still assuming Wes and Jessica are a pair, if Joey and Simone are a pair, then both Adam and Shanley as well as Chris S and Simone must be pairs in order to have 4 correct matches in Week 2. This means there would be 6 incorrect pairings for Week 6, and since we know that 5 matches were correct in Week 6, Joey and Simone cannot be a pair.

Again still assuming Wes and Jessica are a pair, if Joey and Simone, then both Adam and Ashleigh as well as Chris S and Brittany must be pairs in order to have 5 correct matches in Week 6. This means there would be 7 incorrect pairings for Week 2, and since we know that 4 matches were correct in Week 2, Joey and Simone must be a pair.

The inherent contradiction of Joey and Simone as a pair is a direct result of the assumption that Wes and Jessica are a pair, so Wes and Jessica must not be a pair.

This leaves no options for the second correct pair for Week 4 in case 1.2.

Case 1.3: Ethan and Amber are a pair. Wes and Kayla are a pair.

This assumption gives us four of the five pairings at both the Week 5 and Week 6 Match Up ceremonies, and both Week 5 and Week 6 share potential fifth correct pairings with the four possible choices of the remaining two correct pairings for Week 2. This gives us a nice short way to check all possibilities.

Case 1.3.1: Ethan and Amber are a pair. Wes and Kayla are a pair. Adam and Shanley are a pair.

This assumption tells us that both Chris S and Simone as well as John and Jacy must be incorrect pairings for Week 5, and so they must also be incorrect pairings for Week 2. Hence, Joey and Brittany must be the fourth correct pairing for Week 2. That leaves just one man for whom Ashleigh is not eliminated as a match, so John and Ashleigh must be a pair. This leaves just one option for the second correct pairing for Week 4, so Dre and Simone are a pair. This leaves just one option for the fifth correct pairing for Week 6, so Ryan and Jes are a pair. That leaves Chris S and Jacy as a pair, and that pairing doesn't contradict our earlier assumptions, so that gives us our second possible solution.

Case 1.3.2: Ethan and Amber are a pair. Wes and Kayla are a pair. Chris S and Simone are a pair.

Under this assumption, we instead know that both Adam and Shanley as well as John and Jacy must be incorrect pairings for Week 5, and so they must also be incorrect pairings for Week 2. Hence, Joey and Brittany must be the fourth correct pairing for Week 2. This leaves just one option for the second correct pairing for Week 4, so John and Shanley are a pair. That leaves just one woman for whom Dre is not eliminated as a match, so Dre and Jes must be a pair. This leaves just one option for the fifth correct pairing for Week 6, so Adam and Ashleigh are a pair. That leaves Ryan and Jacy as a pair, and that pairing doesn't contradict our earlier assumptions nor does it give the same solution as in Case 1.3.1, so that gives us our third possible solution.

Case 1.3.3: Ethan and Amber are a pair. Wes and Kayla are a pair. Neither Adam and Shanley nor Chris S and Simone are pairs.

This assumption leaves just two options for the remaining two correct pairings for Week 2, so Joey and Brittany are a pair, and John and Jacy are also a pair. This also means that John and Jacy are the fifth correct pair for both Week 5 and Week 6. This leaves Ashleigh with no perfect match (incorrectly matched with Adam in Week 6, with Chris S in Week 1, with Dre in Weeks 2 and 3, and with Ryan in Week 5). This leaves us no possible solutions for Case 1.3.3 and concludes Case 1 with three possible solutions.

Case 2: Ethan and Amber are not a pair.

This case leaves us with not much to go on. As a result, we resort to six different sub-cases as there are six different options for the second correct pairing of Week 1.

Case 2.1: Ethan and Amber are not a pair. Adam and Brittany are a pair.

This assumption gives us both the second correct pairing for Week 1 and the second correct pairing for Week 3. This allows us to eliminate many different pairings which results in 7 incorrect pairings for Week 2. Since we know that 4 matches were correct in Week 2, our assumption must be false.

Case 2.2: Ethan and Amber are not a pair. Chris S and Ashleigh are a pair.

This assumption limits the possibilities for correct pairings in Week 5 and Week 6. If John and Jacy are not a pair, then we have no options that gives us 5 correct pairings in both Week 5 and Week 6 simultaneously, so John and Jacy must be a pair. That leaves 3 pairings for Week 5, two of whom must be correct (Adam and Shanley, Dre and Brittany, Joey and Jes). We then must conclude that either Adam and Shanley are a pair or Dre and Brittany are a pair (possibly both). Regardless of which pairing (or both pairings) is correct, the pairing of Dre and Shanley in Week 6 must be incorrect. This leaves just two options for the fourth and fifth correct pairings for Week 6, so both Joey and Simone as well as Ryan and Jes are pairs. This results in 7 incorrect pairings for Week 2. Since we know that 4 pairings were correct in Week 2, our assumption must be false.

Case 2.3: Ethan and Amber are not a pair. Dre and Jacy are a pair.

This assumption leads us to conclude that Dre, Ethan, John, and Wes were incorrectly paired at both the Week 5 and Week 6 Match Up ceremonies. This leaves Adam, Chris S, Joey, and Ryan to comprise the male halves of the remaining three correct pairings for each of these two Match Up ceremonies. Since each of the four of them were paired with a different woman at the Week 6 Match Up ceremony than they were paired with at the Week 5 Match Up ceremony, there are at most 8 correct pairings between the two ceremonies. Since we know that 10 pairings were correct between Week 5 and Week 6, our assumption must be false.

Case 2.4: Ethan and Amber are not a pair. Ethan and Shanley are a pair.

This assumption leads us to conclude that Ethan and Wes were incorrectly paired at both the Week 5 and Week 6 Match Up ceremonies. This leaves Adam, Chris S, Dre, Joey, John, and Ryan to comprise the male halves of the remaining three correct pairings for each of these two Match Up ceremonies. Of those 6 men, only John was paired with the same female at the Week 5 and Week 6 Match Up ceremonies. As a result, if John and Jacy are not a pair, then we have a similar lack of possible correct pairings between the two ceremonies that we have at the end of Case 2.3. Hence, John and Jacy are a pair. This leaves just two options for the second correct pairing for Week 3 (Dre and Ashleigh, Ryan and Kayla).

If we assume that Dre and Ashleigh are the second pair of Week 3, then that leaves just two options for the fourth and fifth correct pairings for Week 5, so both Chris S and Simone as well as Joey and Jes are pairs. This results in 7 incorrect pairings for Week 6. Since we know that 5 pairings were correct in Week 6, our assumption must be false.

If we assume that Ryan and Kayla are the second pair of Week 3, then that leaves just two options for the fourth correct pairing for Week 2. If we assume that Chris S and Simone are the fourth pair of Week 2, that results in 6 incorrect pairings for Week 6. If we assume that Joey and Brittany are the fourth pair of Week 2, that results in 6 incorrect pairings for Week 6. In both cases, since we know that 5 pairings were correct in Week 6, our assumption must be false.

Case 2.5: Ethan and Amber are not a pair. Ryan and Amber are a pair.

This assumption leads us to conclude that Ethan, Ryan, and Wes were incorrectly paired at both the Week 5 and Week 6 Match Up ceremonies. This leaves Adam, Chris S, Dre, Joey, John to comprise the male halves of the remaining three correct pairings for each of these two Match Up ceremonies. Of those 6 men, only John was paired with the same female at the Week 5 and Week 6 Match Up ceremonies. As a result, if John and Jacy are not a pair, then we have a similar lack of possible correct pairings between the two ceremonies that we have at the end of Case 2.3. Hence, John and Jacy are a pair. This leaves just two options for the second correct pairing for Week 3 (Dre and Ashleigh, Joey and Shanley).

If we assume that Dre and Ashleigh are the second pair of Week 3, then that leaves just two options for the fourth and fifth correct pairings for Week 6, so both Chris S and Brittany as well as Joey and Simone are pairs. This results in 6 incorrect pairings for Week 5. Since we know that 5 pairings were correct in Week 5, our assumption must be false.

If we assume that Joey and Shanley are the second pair of Week 3, this results in 7 incorrect pairings for Week 2. Since we know that 4 pairings were correct in Week 2, our assumption must be false.

This leaves no options for the second correct pairing for Week 3, so our assumption must be false.

Case 2.6: Ethan and Amber are not a pair. Wes and Kayla are a pair.

This assumption limits our options in Week 3, giving us just three possible choices of which pair was the second correct pair (Dre and Ashleigh, Joey and Shanley, John and Jessica).

If we assume that Joey and Shanley are the second pair of Week 3, this results in 7 incorrect pairings for Week 2. Since we know that 4 pairings were correct in Week 2, our assumption must be false.

If we assume that John and Jessica are the second pair of Week 3, this leaves just three options for the second, third, and fourth correct pairings for Week 2. So, Adam and Shanley is a pair, Chris S and Simone is a pair, and Joey and Brittany is a pair. This results in 9 incorrect pairings for Week 4. Since we know that 2 pairings were correct in Week 4, our assumption must be false.

We are then left to assume that Dre and Ashleigh are the second pair of Week 3. Looking at the possible pairings for Week 5 and Week 6 as we did at the beginning of Cases 2.2 through 2.5, we cannot use the same counting method to determine that John and Jacy must be a pair.

If we assume that John and Jacy are not a pair, then we are forced to conclude that Adam and Shanley is a pair correctly matched in Week 5 since concluding otherwise would result in 6 incorrect pairings for Week 6. We are also forced to conclude that Ryan and Jes is a pair correctly matched in Week 6 since concluding otherwise would result in 6 incorrect pairings for Week 5. This leaves just one option for the fifth correct pairing of Week 5, so Chris S and Simone is a pair. This results in 6 incorrect pairings for Week 6. In all three situations resulting from the assumption that John and Jacy are not a pair, since we know that 5 pairings were correct in each of Week 5 and Week 6, our assumption must be false.

We are then left to assume that John and Jacy are a pair. This leaves us 3 possible choices of which pair was the fourth correct pair in Week 2 (Adam and Shanley, Chris S and Simone, Joey and Brittany).

If we assume that Adam and Shanley are the fourth pair of Week 2, this leaves just one option for the second correct pairing of Week 4, so Ryan and Brittany is a pair. That leaves just one option for the fifth correct pairing of Week 6, so Joey and Simone is a pair. This leaves just one man for whom Amber is not eliminated as a match, so Chris S and Amber must be a pair. That leaves Ethan and Jes as a pair, and that pairing doesn't contradict our earlier assumptions, so that gives us our fourth possible solution.

If we assume that Chris S and Simone are the fourth pair of Week 2, this leaves just one option for the fifth correct pairing of Week 6, so Ryan and Jes is a pair. That leaves just one option for the second correct pairing of Week 4, so Adam and Amber is a pair. This leaves Joey with no perfect match (incorrectly matched with Brittany in Week 2 and Shanley in Week 3), so our assumption must be false.

If we assume that Joey and Brittany are the fourth pair of Week 2, this results in 6 incorrect pairings for Week 5. Since we know that 5 pairings were correct in Week 5, our assumption must be false.

Click to see Spoiler:
Possible solution #1:
Chris S & Ashleigh
Chris T & Paige
Dillan & Coleysia
Dre & Simone
Ethan & Amber
Joey & Kayla
John & Jacy
Ryan & Jes
Wes & Brittany

Possible solution #2:
Chris S & Jacy
Chris T & Paige
Dillan & Coleysia
Dre & Simone
Ethan & Amber
Joey & Brittany
John & Ashleigh
Ryan & Jes
Wes & Kayla

Possible solution #3:
Chris S & Simone
Chris T & Paige
Dillan & Coleysia
Dre & Jes
Ethan & Amber
Joey & Brittany
John & Shanley
Ryan & Jacy
Wes & Kayla

Possible solution #4:
Chris S & Amber
Chris T & Paige
Dillan & Coleysia
Dre & Ashleigh
Ethan & Jes
Joey & Simone
John & Jacy
Ryan & Brittany
Wes & Kayla

8. ## Re: Are You The One?

I love your breakdown. I appreciate you taking the time to not only find the possibilities, but also HOW you got there and it actually makes for great conversation (assuming more people were watching/posting). I really think #2 is the final, but we'll have to see. Now that you've done the math out, who do you think it is?

9. ## Re: Are You The One?

I agree #2 seems the most plausible. #4 cannot be correct because it has Ethan and Jessica together, and they've been to the Truth Booth and it said they weren't a match.

10. ## Re: Are You The One?

I agree with #2 only because of the air time Chris S and Jacy are getting, I believe them to be a pair.

That breakdown was FANTASTIC.

Glad to see the commercials calling for casting for the 2nd season of this show. I gave up on MTV reality shows a long time ago, however, this one drug me back.

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