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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?​

Respuesta :

Answer:

1440 different arrangements are possible.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

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

[tex]T = 2A_{6} = 2*6! = 1440[/tex]

1440 different arrangements are possible.

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