Seniors People

How many different ways can a committee of 5 people can be formed from a group of 8 seniors and 6 juniors if:?
How many different ways can a committee of 5 people can be formed from a group of 8 seniors and 6 juniors if:
a) anyone in the group is eligible?
b) it is made up of 3 seniors and 2 juniors?
C(14,5) = 2002 14 choose 5
C(8,3)*C(6,2) = 840 8 choose 3 times 6 choose 2
a) 2002
b) 840
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