Question

There are 294 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? There are ____________ different ways to choose the officers.

Answer 1

see attached picture for how to solve and answer:

Answer 2

Answer: There are 304,985,751 ways to do the selection.

Step-by-step explanation:

Since we have given that

Total number of students = 294

Number of students to be selected = 4

So, Number of different ways to select the four of the students is done by method of "Combination":

Number of ways is given by

$^{294}C_4\\\\=304,985,751$

Hence, there are 304,985,751 ways to do the selection.