Question

There are 312 students in the senior class. Four of the students will be chosen to be the President, Vice-President, Secretary, and Treasurer of the class. How many different ways can this happen?

Answer 1

Given:

Number of students = 312

Number to be chosen = 4

To find the number of ways this can happen, let's use combination meyhod.

Thus, we have:

`\frac{312!}{4!(312\text{ - 4)!}}`

Solving further, we have:

`=387278970`

Therefore there are 387,278,970 ways this can happen

ANSWER:

387,278,970 ways