From a group of 5 freshmen, 3 sophomores, 4 juniors, and 3 seniors, how many 5-person committees are possible? a. 180 b. 3,003 c. 360,360 d. 759,375

3003

Step-by-step explanation:

Given : A group of 5 freshmen, 3 sophomores, 4 juniors, and 3 seniors

To Find: how many 5-person committees are possible?

Solution:

We will use combination over here.

Formula :

There is a group of 5 freshmen, 3 sophomores, 4 juniors, and 3 seniors

Total person = 5+3+4+3=15

Now we are supposed to find the no. of 5-person committees are possible.

n =15

r = 5

Substitute the values in the formula

Thus no. of 5-person committees are possible is 3003.

the answer would be c:   ax + b = ax + c

step-by-step explanation: