SOLUTION: A group of eleven seniors, nine juniors, five sophomores, and four freshmen must select a committee of four. How many committees are possible if the committee must contain the foll

Question 1167472: A group of eleven seniors, nine juniors, five sophomores, and four freshmen must select a committee of four. How many committees are possible if the committee must contain the following?
(a) one person from each class
(b) any mixture of the classes

(c) exactly two seniors

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. 1 person from each class is 11*9*5*4 ways=1980 ways
b. this is 29C4 or 23,751 ways
c. exactly two seniors means 11C2*18C2, the latter being everyone else
this is 55*153=8415 ways
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