SOLUTION: There are 17 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommittees are possible?
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Question 1166137: There are 17 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommittees are possible?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are several different answers depending on how a subcommittee is formed. For example, is it just four members of the board with equal status so that a committee consisting of Bill, Bob, Brian, and Basil is the same as one formed of Bob, Basil, Bill, and Brian? Or does the subcommittee have a chairman so that a committee consisting of Chairman John plus Joe, Jill, and Jeri is different from one consisting of Chairman Jill plus Joe, John, and Jeri. Perhaps there is a Chairman and a Chairman Pro Tem, so that Chairman Steve, Chairman Pro Tem Scott, Sally, and Sue...get the idea?
Assuming the first case, and using the formula for the number of combinations of 
things taken 
at a time:
!r!})
You need to calculate
John
My calculator said it, I believe it, that settles it
I > Ø
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