Question

A club consists of 8 seniors, 7 juniors, and 4 sophomores. A subcommittee consisting of 3 seniors, 2 juniors, and 1 sophomore will be chosen. How many different such subcommittees can be formed?
Answer

4,704

1,176

224

6

Answer 1

Of 8 seniors, we are to choose 3 for the subgroup: This can be done in 8 choose 3 ways or C(8,3).

Answer 2

Juniors: C(7,2)

Answer 3

Sophomores: C(4,1)

Answer 4

The number of ways for the entire subgroup is the product:

C(8,3) * C(7,2) * C(4,1) = ?

Answer 5

4704

Answer 6

Correct.

Answer 7

Ty

Answer 8

Glad to help.

You can use the "wolf" to help with multiplication:

http://www.wolframalpha.com/input/?i=C%288%2C3%29+*+C%287%2C2%29+*+C%284%2C1%29+%3D

Answer 9

oh ok ty.