Question 326552
A debate club consists of 12 men and 10 women. 
a) In how many ways can the club select a president, vice president and treasurer? (Assume no person can hold two offices at once)
Ans: 32*31*30 
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b) In how many ways can the club select a president, vice president and treasurer where all three officers are male?
Ans: 12*11*10
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c) What is the probability that all three officers are male?
Ams" 12C3/22C3 = (12*11*10)/(1*2*3) = 220
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d) What is the probability of selecting at least one female officer?
P(at least one) = 1 - P(none)
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P(at least one female) = 1 - P(3 men) = 1 - [12C3/22C3]
= 0.8571
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Cheers,
Stan H.
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