Question

Six friends together with their respective partners all meet up for a meal. To  commemorate the occasion, they arrange for a photograph to be taken of all 12 of them  standing in a line.How many different arrangements are these if each friend is standing next to his or her partner?​

Answer 1

1440 different arrangements are possible.

Explanation:

Number of arrangements of n elements:

The number of arrangements of n elements is given by:

`A_(n) = n!`

In this question:

6 couples, in which each can be positioned in 2 ways(him/her or her/him). So

`T = 2A_(6) = 2*6! = 1440`

1440 different arrangements are possible.