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20 June, 13:24

Members of a hospital advisory committee will be selected from 5 doctors and 4 nurses. The committee must have 2 doctors and 2 nurses.

How many possible combinations of doctors and nurses could be chosen for the committee?

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  1. 20 June, 13:32
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    16 possible ways

    Step-by-step explanation:

    Using the formular Cp, k = p!/I! (P-k) !

    Where k = number of selected committee members

    P = available number that can sit in the committee

    For doctors, there are 5 doctors

    C = 5!/2! (3) ! = 120/12 = 10ways

    For nurses, there are 4

    C = 4!/2! (2) ! = 24/4 = 6ways

    Total possible ways=10 + 6 = 16 ways
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