Find Number of Ways

Discussion in 'Probability and Statistics' started by nycmathguy, Nov 30, 2021.

  1. nycmathguy

    nycmathguy

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    In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?

    (A)20
    (B) 40
    (C) 216
    (D) 720
    (E )729

    This looks like a combination problem.

    6C3 = 6!/3!(6-3)!

    6C3 = 720/6(3!)

    6C3 = 720/(6)(6)

    6C3 = 720/36

    6C3 = 20 ways

    I say choice (A).
     
    Last edited: Nov 30, 2021
    nycmathguy, Nov 30, 2021
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  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Nov 30, 2021
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  3. nycmathguy

    nycmathguy

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    Not too bad. All this work was just a guess on my part.
     
    nycmathguy, Nov 30, 2021
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