PLEASE HELP There are 312 students in the senior class. Four of the students will be chosen to be the President, Vice-President

Question

PLEASE HELP
There are 312 students in the senior class. Four of the students will be chosen to be the
President, Vice-President, Secretary, and Treasurer of the class. How many different ways
can this happen?
There are ___ different ways to choose the officers.

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Huyền Thanh 4 years 2021-08-23T03:53:59+00:00 1 Answers 2 views 0

Answers ( )

  1. thucuc
    0
    2021-08-23T03:55:43+00:00
    Reply

    Answer:

    There are 9,294,695,280 different ways to choose the officiers.

    Step-by-step explanation:

    The first thing we need to count is all the “selections”, then we need to find the number of options for each one of these selections.

    The selections are:

    president

    vice-president

    secretary

    treasurer

    So we have 4 selections, now let’s find the number of options for each one.

    President: Here we have 312 options (the number of students).

    Vice-president: Here we have 311 options (because one of the students was selected to be president)

    Secretary: Here we have 310 options (because 2 students where already selected for the two previous positions)

    Treasurer: Here we have 309 options.

    The total number of different ways to select the officers is equal to the product between the numbers of options, this is:

    C = 312*311*310*309 = 9,294,695,280

    There are 9,294,695,280 different ways to choose the officiers.

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