Question

A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?

Answer 1

Explanation:

by choosing from the sophomores or by choosing from the freshmen

Answer 2

• 303600

Explanation:

There are:

• 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen

The president must be a senior.

• Number of ways = 30

The assistant must not be a freshman.

• Number of ways = 30 + 38 + 24 = 92

The accountant can be anyone.

• Number of ways = sum of all = 110

Number of ways to pick officers:

• 30*92*110 = 303600