A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position

Discussion in 'Calculator Requests' started by math_celebrity, Oct 23, 2019.

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    math_celebrity Administrator Staff Member

    A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 12 faculty members and 15 students eligible to serve on the committee. In how many ways can the committee be formed?

    We'll use combinations, so we have:
    To get the total committees, we multiply the total faculty member choices by the total student choices:
    Total committees = total faculty members * total students
    Total committees = 495 * 3,003
    Total committees = 1,486,485
     

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