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?

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.
.
nCr=n!/(n-r)!r! Orde not important.
15!/(11!*4!)=1365
.
2730*1365=3,726,450 ways
.
Ed
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