# 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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 Click here to see ALL problems on Probability-and-statistics 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)   (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? ------------------------------------------------ P(no senior in group of 5) = 24C5/29C5 = 42504/118755 = 0.3579 ---- P(at least one senior) = 1 - P(no senior) = 1 - 0.3579 = 0.6421... Cheers, Stan H.