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Combinations of Selecting Students

  1. Jun 13, 2017 #1
    1. The problem statement, all variables and given/known data
    In how many ways can 2 females and 3 males be selected from a class of 30 with 20 female and 10 male students?

    2. Relevant equations

    3. The attempt at a solution
    I saw this as a two step process. Step 1 being I have N1 ways of choosing 2 females and step 2 N2 ways of choosing 3 male. This means I can apply the multiplication principle using N1*N2.

    I have 20C2 ways for the female and 10C3 for the males. Using the multiplication principles I get (20C2) * (10C3) = 22,800 ways.

    I'm fairly confident in my answer, I just want to be sure I'm understanding the concepts behind it, thanks.
  2. jcsd
  3. Jun 13, 2017 #2


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    Gold Member

    You are correct.
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