Question 507366: 4. A division has 12 employees, 8 males and 4 females.
(a) How many ways can a committee of 6 members can be selected from out of these 12?
(b) Find the probability that the committee contains all males?
(c) How many ways can they choose a President of the committee, if the President has to be a female and the other officers must be males?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A division has 12 employees, 8 males and 4 females.
(a) How many ways can a committee of 6 members can be selected from out of these 12?
Ans: 12C6 = 924 ways
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(b) Find the probability that the committee contains all males?
Ans: P(6 males) = 8C6/12C6 = 28/924
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(c) How many ways can they choose a President of the committee, if the President has to be a female and the other officers must be males?
Ans: Ways to choose a female president: 8
Question: How many other officers are there?
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Cheers,
Stan H.
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