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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?5
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?
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Explanation :
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.