Question 961540
A committee of four is to be selected from a group of sixteen people. How many different committees are possible, given the following conditions?
 a) One person is the chair, and the rest are general members?
Pick a chairman:: 16 ways
Pick 3 others:: 15C3 = 455 ways
Ans: 16*455 = 7200
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 b) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.
Ans: 16*15*14*13 = 43600
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How many five card poker hands consisting of all hearts are possible?
Ans:: 13C5 = 1287
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How many five card poker hands consisting of all cards of the same suit are possible?
Ans: 4*13C5 = 5148 
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Cheers,
Stan H.