Question 945535: A company is composed of 5 senior executives, 10 executives and 5 senior managers. A 5 person committee is formed to attack a particular issue.
How many different 5 person committees are possible?
C(20,5) =20!/(20-5)!5!=(20!5*4*3*2*1)/15!=(20*19*18*17*16*15!)/(15!*5*4*3*2*1)=1860480/120=15504
If the committee must be composed of 2 senior executives, 2 executives and 1 senior manager, how many different 5 person committees are possible?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! You have the first part correct.
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If the committee must be composed of 2 senior executives, 2 executives and 1 senior manager, how many different 5 person committees are possible?
You need to compute the following:
[ C(5,2) ] * [ C(10,2) ] * [ C(5,1) ]
to get the answer to the second part.
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