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# casework counting

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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
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This question has been answered before here.

Apr 6, 2020
#2
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If you don't realize, it is the second question answered.

Apr 6, 2020
#3
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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
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yes it does thx both of u

Paresh  Apr 6, 2020