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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?​

User Mcn
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3 votes

Answer:

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.

User Martin Owen
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