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I have 18 distinguishable socks in my drawer: 8 white, 6 brown, and 4 blue. In how many ways can I choose a pair of socks, provided that I get two socks of the same color?

 Mar 8, 2019
 #1
avatar+796 
+2

4 white&brown

4 white&blue

brown&brown

I hope this is good for you unless you need more (^O^) (^m^) ^﹏^

 Mar 8, 2019
 #2
avatar+796 
+2

If you need more let me know ;P

 Mar 8, 2019
 #3
avatar+129850 
-2

Ways to choose 2 white =  C(8,2)  = 28

 

Ways to choose 2 brown = C(6,2)  = 16

 

Ways to choose 2 blue  = C(4,2)  = 6

 

So

 

28 + 16 +  6  =

 

50 ways

 

cool cool cool

 Mar 8, 2019
 #4
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0

6 choose 2 is actually 15, not 16, so the answer is 49

Guest Jul 9, 2021

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