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 9 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed

The committee can be formed in 31,752 ways.

Step-by-step explanation:

Every committee position has the same duties and voting rights. This means that the order in which the members are chosen is not important to solve this question. So the combinations formula is used.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the committee be formed

4 faculty members from a set of 9

5 students from a set of 10.

Then

The committee can be formed in 31,752 ways.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

45

step-by-step explanation: