Question 1115938: A music class of eight girls and seven boys is having a recital. If each member is to perform once, how many ways can the program be arranged in each of the following cases:
a) The girls must all perform first.
b) A girl must perform first and a boy must perform last.
c) The entire program will alternate between girls and boys, starting with a girl.
d) The first, eighth, and fifteenth performers must be girls.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A music class of eight girls and seven boys is having a recital. If each member is to perform once, how many ways can the program be arranged in each of the following cases:
a) The girls must all perform first.:: 8!*7!
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b) A girl must perform first and a boy must perform last.::8*13!*7
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c) The entire program will alternate between girls and boys, starting with a girl.
8*7*7*6*6*5 etc.
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d) The first, eighth, and fifteenth performers must be girls.
8*7*6*12!
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Cheers,
Stan H.
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