1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    You are correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Combinations of Selecting Students
  1. Linear combination (Replies: 2)

  2. Combination rule (Replies: 3)

Loading...