SOLUTION: There are six children, three girls and three boys, singing in a school program. As they line up to perform, the choral director insists that the first person be a girl and the las
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Question 413112: There are six children, three girls and three boys, singing in a school program. As they line up to perform, the choral director insists that the first person be a girl and the last a boy. How many ways can the children line up? Answer by sudhanshu_kmr(1152) (Show Source):
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no. of ways that a girl on first position = 3 ( anyone from 3 girls)
no. of ways that a boy on last position = 3 (anyone from 3 boys)
no. of ways to arrange remaining 4 children = 4P4 = 4! = 24
no. of ways the children line up = 3 * 3 * 24 = 216
