SOLUTION: In how many ways can a committee be formed with a chair, a secretary, a treasurer, and four additional people if they are to all be chosen from a group of fifteen people?
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Question 420236: In how many ways can a committee be formed with a chair, a secretary, a treasurer, and four additional people if they are to all be chosen from a group of fifteen people? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! nPr=n!/(n-r)! Order is important.
15P3=15!/12!=15*14*13=2730 Chair, secretary, treasurer.
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nCr=n!/(n-r)!r! Orde not important.
15!/(11!*4!)=1365
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2730*1365=3,726,450 ways
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Ed
