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21 February, 19:38

A small town has 5 police officers. When a radio dispatcher receives a call, depending on the nature of the situation, no officer, one officer, two officers, three officers, four officers, or all five officers can be sent. How many different ways can the dispatcher send the police officers to the scene of the caller?

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  1. 21 February, 22:56
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    N = 32 ways

    the dispatcher can send the police officers to the scene of the caller in 32 ways.

    Step-by-step explanation:

    Given;

    Total number of officers = 5

    The total number of ways the dispatcher can send the police officers is the sum of the number of ways of sending each of no officer, one officer, two officers, three officers, four officers, or all five officers.

    N = 5P0 + 5P1 + 5P2 + 5P3 + 5P4 + 5P5

    N = 1 + 5 + 10 + 10 + 5 + 1 = 32

    N = 32 ways
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