SOLUTION: An economics club has 30 members. a) If a committee of 4 is to be selected, in how many ways can the selection be made? b) In how many ways can a committee of at least 1

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Question 315032: An economics club has 30 members.
a) If a committee of 4 is to be selected, in how many ways can the selection be made?
b) In how many ways can a committee of at least 1 and at most 3 be selected?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An economics club has 30 members.
a) If a committee of 4 is to be selected, in how many ways can the selection be made?
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30C4 = (30*29*28*17)/(1*2*3*4) = 27405
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b) In how many ways can a committee of at least 1 and at most 3 be selected?
1 member: 30 ways
2 members: (30*29)/(1*2) = 435
3 members: (30*29*28)/(1*2*3) = 4060
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Cheers,
Stan H.