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26 votes
26 votes
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?

User Jennifer Owens
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1 Answer

22 votes
22 votes

Answer:

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.

User J Teller
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