A committee consisting of 3 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 10 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed?

Question

Mary Morales

Mathematics

8 March, 14:15

A committee consisting of 3 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 10 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed?

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Answers (1)

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Moshe Haas · Answer 1

Answer:55,440 ways

Step-by-step explanation:

Step-by-step explanation:

The order in which the members are selected does not matter because every committee position has the same duties and voting rights and so combination is what we are using.

First we need to select 3 of the 10 faculty members, this can be done in

10C3 ways, which is 120

Secondly, we need to select 5 of the 11 students, which could be done in 11 C 5 ways, which is 462

Altogether, the committee could be selected in 462 X 120 ways

= 55, 440 ways