6 freshmen, 5 sophomores, 6 juniors, and 5 seniors are eligible to be on a committee. In how many ways can a dance committee of
1 answer:
Answer:
24750
Step-by-step explanation:
Given that 6 freshmen, 5 sophomores, 6 juniors, and 5 seniors are eligible to be on a committee
16 students be chosen if it is to consist of exactly 4 juniors and exactly 3 seniors, and the rest must be freshmen or sophomores
i.e. dance committee will have 16 students out of which
4 juniors 3 seniors 8 freshmen or sophomores from
6 juniors, 5 seniors and 5 sophomores and 6 freshmen
Junior can be selected in 6C4 = 15 ways
Seniors in 5C3 = 10 ways
Freshman or sophomores in 11C8 = 165
The total no of ways = product of these three
=
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