Identical Green & Red Shirts

Discussion in 'Algebra' started by nycmathguy, May 19, 2022.

  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

    I sense this to be a probability question in disguise.

    Is the set up like this?

    Using Crn to represent the combination formula.

    6C3 • 6C3

    You say?
     
    nycmathguy, May 19, 2022
    #1
  2. nycmathguy

    MathLover1

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    6!/ ((3!) (3!)) = 20 ways that each child receives a shirt
     
    MathLover1, May 19, 2022
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  3. nycmathguy

    nycmathguy

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    How did you come to that conclusion? How did you know what to do based on the wording given?
     
    nycmathguy, May 19, 2022
    #3
  4. nycmathguy

    MathLover1

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    it's just combination problem
    C(6,3) -> choose 3 out of 6

    upload_2022-5-19_18-3-15.gif
     
    MathLover1, May 20, 2022
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  5. nycmathguy

    nycmathguy

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    A combination problem hidden in all those words.
     
    nycmathguy, May 20, 2022
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