Question

A group of 8 friends travels to the airport in two taxis, P and Q. Each taxi can take 4 passengers.
(i) The 8 friends divide themselves into two groups of 4, one group for taxi P and one group for taxi Q, with Jon and Sarah travelling in the same taxi. Find the number of different ways in which this can be done.

Answer 1

@Photon336 @jhonyy9 @vishweshshrimali5 @ganeshie8 @Directrix @Isaiah.Feynman @IrishBoy123 @inkyvoyd @Astrophysics @kropot72 @ParthKohli

Answer 2

Any thoughts?

Answer 3

Consider the taxi that John and Sarah are in. It has 2 more vacant seats to be chosen from 6 remaining ppl. You can do this in 6C2 ways.

Answer 4

After that the remaining 4 ppl automatically sit in the other taxi.

So there are 6C2 total ways to form 2 groups from 8 ppl such that 2 ppl are always in the same group.