I have 10 distinguishable socks in my drawer: 4 white, 4 brown, and 2 blue. In how many ways can I choose a pair of socks, provided that I get two socks of different colors?

This question has been answered before here.

If you don't realize, it is the second question answered.

We have 3 different combinations we can make

1.) White and Brown: \(4\cdot4=16\) ways

2.) Brown and Blue:\(4\cdot2=8\) ways

3.) White and Blue: \(4\cdot2=8\) ways

So if we add all of the ways we get \(16+8+8=32\) different ways

Hope this helps!

-Ako

yes it does thx both of u