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Mathematics 23 Online

OpenStudy (surryyy):

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

11 years ago

Directrix (directrix):

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

11 years ago

Directrix (directrix):

Juniors: C(7,2)

11 years ago

Directrix (directrix):

Sophomores: C(4,1)

11 years ago

Directrix (directrix):

The number of ways for the entire subgroup is the product: C(8,3) * C(7,2) * C(4,1) = ?

11 years ago

OpenStudy (surryyy):

4704

11 years ago

Directrix (directrix):

Correct.

11 years ago

OpenStudy (surryyy):

11 years ago

Directrix (directrix):

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

11 years ago

OpenStudy (surryyy):

oh ok ty.

11 years ago

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