A class consists of 20 sophomores and 15 freshmen. The club needs to choose four different members to be president, vice president, secretary, and treasurer. In how many ways is this possible if sophomores will be chosen as president and treasurer and freshmen as vice president and secretary? Please explain your answer instead of just providing the answer for the points!

There are 79,800 ways in which this is possible.

Step-by-step explanation:

The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:

2 sophomores from a set of 20.

2 freshmen from a set of 15. So

There are 79,800 ways in which this is possible.

50x5=$250

step-by-step explanation: