Combinations of Selecting Students

[Of Mike and Men]

Homework Statement

In how many ways can 2 females and 3 males be selected from a class of 30 with 20 female and 10 male students?

Homework Equations

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.

 

[LCKurtz]

You are correct.