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24 February, 05:12

A club with 10 students elects a president, vice president, treasurer, and secretary. No student can hold more than one position. How many ways are there to select the class officers?

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  1. 24 February, 05:32
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    5040 ways are there to select the class officers

    Step-by-step explanation:

    A club with 10 students elects a president, vice president, treasurer, and secretary. No student can hold more than one position

    4 officers should be selected from 10 students

    first officer can be selected in 10 ways

    second officer can be selected in 9 ways

    third officer can be selected in 8 ways

    fourth officer can be selected in 7 ways

    Number of ways = 10 times 9 times 8 times 7 = 5040 ways
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