A committee consisting of 4 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 15 students eligible to serve on the committee. In how many ways can the committee be formed?

Question

Layne Murillo

Mathematics

11 December, 10:34

A committee consisting of 4 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 15 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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Alisa Williamson · Answer 1

Answer:630,630

Step-by-step explanation:

The order of selection does not matter since every committee position has the same duties and voting rights

The first thing is to select 4 faculty members from the 10 Faculty members, this can be done in 10 C 4 ways = 210 ways

Next is to select the 5 students from the 15 students, this can be done in 15 C 5 ways = 3,003 ways

The total selection will therefore be (210 X 3,003) ways

= 630,630 ways