Question

Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a 5-member committee of sophomores if each sophomore has an equal chance of being selected?

Answer 1

Answer:495

Explanation:

12C4

only choosing from juniors : n=12

TRUST ME

Answer 2

792

Explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

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(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

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5 * 4 * 3 * 2 * 1

792