Suppose that there are 11 employees in an office. The boss needs to select 5 of the employees to go on a business trip to Florida. In

Question

Suppose that there are 11 employees in an office. The boss needs to select 5 of the employees to
go on a business trip to Florida. In how many ways can the boss do this?
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Lyla 2 weeks 2021-09-14T20:37:20+00:00 1 Answer 0

Answers ( )

    0
    2021-09-14T20:38:24+00:00

    Answer:

    462ways

    Step-by-step explanation:

    This Is a combination problem, we we are expected to determine the number of possible ways of selecting the numbers of staffs for a business trip

    C(n, r) were n= 11

    r=5

    C(n, r) = n!/(n-r)! r!

    C(n, r) = 11!/(11-5)! 5!

    C(n, r) = 11!/(6)! 5!

    C(n, r) = 11*10*9*8*7*6!/(6)! 5*4*3*2*1

    C(n, r) = 11*10*9*8*7/5*4*3*2*1

    C(n, r) = 55440/120

    C(n, r) = 462

    The number of possible ways is 462

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45:7+7-4:2-5:5*4+35:2 =? ( )