SOLUTION: A class has 29 students, of which 5 are seniors. How many committees of size 5 can be selected if at least one member of each committee must be a senior?

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Question 270486: A class has 29 students, of which 5 are seniors. How many committees of size 5 can be selected if at least one member of each committee must be a senior?

Answer by stanbon(57277) About Me  (Show Source):
You can put this solution on YOUR website!
A class has 29 students, of which 5 are seniors. How many committees of size 5 can be selected if at least one member of each committee must be a senior?
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P(no senior in group of 5) = 24C5/29C5 = 42504/118755 = 0.3579
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P(at least one senior) = 1 - P(no senior)
= 1 - 0.3579
= 0.6421...
Cheers,
Stan H.