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28 October, 02:02

A paint box contains 12 bottles of different colors. If we choose equal quantities of 3 different colors at random, how many color combinations are possible?

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Answers (2)
  1. 28 October, 02:07
    0
    220 color combinations are possible.

    Step-by-step explanation:

    A combination is a way of selecting members from a grouping, such that the order of selection does not matter.

    in our case we have 3-combinations of a set of 12 elements:

    C (12, 3) = 12! / (3! (12-3) !)

    C (12, 3) = 12! / (3! 9!)

    C (12, 3) = (10*11*12) / (2*3)

    C (12, 3) = 220 color combinations are possible.
  2. 28 October, 02:27
    0
    220 combinations.

    Step-by-step explanation:

    This will be 12C3 combinations.

    = 12! / [ (12-3) ! 3!].

    A quick mehtod to calculate this is 12*11*10 / 3*2*1

    = 2*11*10

    = 220.
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