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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?

 Apr 6, 2020
 #1
avatar+933 
+2

This question has been answered before here.

 Apr 6, 2020
 #2
avatar+933 
+2

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

 Apr 6, 2020
 #3
avatar+34 
+1

 

 

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

 Apr 6, 2020
 #4
avatar+383 
+1

yes it does thx both of u

Paresh  Apr 6, 2020

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