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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 the same color?

 Feb 19, 2018
 #1
avatar+37167 
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I'll try , Ant!

Say your fist pick is

white       then there are 3 choices w    4 choices br     2 choices bl

First pick is

brown    then there are 4 choices w    3 choices br    2 choices bl

First pick is

blue      then there are  4 choices w   4 choices br     1 choice bl

 

Add the red choices up....looks like 7 ways to get a pair of mathcing socks !

 

(I do not promise this is correct , Ant.....just my best try)

 Feb 19, 2018
edited by ElectricPavlov  Feb 19, 2018
 #2
avatar+4625 
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You're close, EP! 

tertre  Feb 19, 2018
 #3
avatar+37167 
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Haha!   HOW close???smiley     I told Ant offline I was not very good at these type Q's, but I would try!

ElectricPavlov  Feb 19, 2018
 #4
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The socks must be either both white, both brown, or both blue. If the socks are white, there are (42)=6 choices. If the socks are brown, there are (42)=6 choices. If the socks are blue, there is (22)=1 choice. So the total number of choices for socks is 6+6+1=13.         6 away, EP!

 Feb 19, 2018
 #5
avatar+37167 
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I think I'm slowly getting it.....  you are choosing a PAIR at a time (Which I think, is actually what the question is asking)..I am selecting one sock at a time in my answer....

ElectricPavlov  Feb 19, 2018
 #6
avatar+4625 
0

Yes, that's correct.

tertre  Feb 19, 2018

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