SOLUTION: in how many ways can 4 boys and 5 girls be shifted in are room so that they alternate?

Question 972600: in how many ways can 4 boys and 5 girls be shifted in are room so that they
alternate?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
in how many ways can 4 boys and 5 girls be shifted in are room so that they
alternate?

They have to go

GBGBGBGBG, where G=girl, B=boy

The 5 girls can be arranged in the 5 positions labeled "G" in 5!=120 ways.

For each of those 120 ways to place the 5 girls in those 5 positions, there are

the 4 boys can be arranged in those 4 positions labeled "B" in 4!=24 ways.

Answer:  (5!)(4!) = (120)(24) = 2880 ways.

Edwin

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