Q:
A group consists of 4 couples in which each of the 4 boys have one girl friend.In how many ways they can be arranged in a straight line such that boys and girls occupies alternate positions?
Answer
Answer : 1152
Total positions are 8.
In that boys can be arranged in 4 places and girls can be arranged in 4 places and hence this can be done in 2 ways.
i.e => 4! x 4! x 2 = 24 x 24 x 2=1152.
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