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With three pairs of socks, there is only one way to do it. For example, if there is a pair of red socks, a pair of blue socks and a pair of green socks , the mixed-up pairs are:
red blue
red green
blue green
If you have four pairs (for example, a pair of yellow socks), there are three ways:
red blue
red green
blue yellow
green yellow
or
red blue
red yellow
blue green
green yellow
or
red green
red yellow
blue green
blue yellow