/sci/ - Science & Math

Look, this is how it's done. As my beautiful illustration shows, there are 8 possible positions for the pair to sit in. Since they are 2 people, there are a total of 16 positions in which they can be seated, due to the fact that they can switch places with one another. This leaves us with 16 possible combinations for these people. Then, with the pair seated, we have 6 open seats and 6 people to seat. One person sits in one of the six chairs. Then one of the remaining 5 sit in one of the five remaining chairs and so on. Then the chairs are all filled. This leaves us with:
16 (number of possible couple positions)*6 (one person sitting in one of the six empty chairs)* 5(one person sitting in one of the five empty chairs)*4*3*2*1 (for the same reason as the ones prior)
16*6*5*4*3*2*1=11520
Anyone willing to prove me wrong?