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counting and probability intermediate
Problem
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?
Solution
The socks must be either both white, both brown, or both blue. If the socks are white, there are choices. If the socks are brown, there are choices. If the socks are blue, there is choices. So the total number of choices for socks is .
Final answer
49