Question 91983: in how many ways can we seat three of five boys and three of five girls if boys and girls must alternate? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! in how many ways can we seat three of five boys and three of five girls if boys and girls must alternate?
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Pick a boy: 5 ways
Pick a girl: 5 ways
Pick a boy: 4 ways
Pick a girl: 4 ways
Pick a boy: 3 ways
Pick a girl: 3 ways
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# of ways = 5^2*4^2*3^2 = 25*16*9 = 3600
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Cheers,
Stan H.
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