Question

Tutorial Exercise

An insurance agent has a list of 7 prospects and decides to telephone 2 of the prospects today and the other 5
prospects tomorrow. In how many different ways can the agent telephone the prospects?

Answer 1

The agent can telephone the prospects in 240 different ways.

Explanation:

Number of arrangements:

The number of different arrangements of n elements is given by:

`A_(n) = n!`

In this question:

On the first day, 2 prospects will be called, and the total number of possibilites is 2!.

On the second day, the remaining 5 prospects will be called, and the total number of possibilities will be 5!. So

`T = A_(2)*A_5 = 2!*5! = 2*120 = 240`

The agent can telephone the prospects in 240 different ways.