SOLUTION: Three boys and three girls are to sit on a bench for a photograph. Find the number of ways this can be done if three girls must all sit apart.
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Question 1008275: Three boys and three girls are to sit on a bench for a photograph. Find the number of ways this can be done if three girls must all sit apart. Answer by Edwin McCravy(20056) (Show Source):
There are only these 4 ways to arrange them sex-wise:
GBGBGB, BGBGBG, GBBGBG, GBGBBG
For each of these 4 sex-wise arrangements, there are
3! ways to arrange the 3 girls, and
3! ways to arrange the 3 boys.
That's 4*3!*3! = 4*6*6 = 144 ways.
Edwin
