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There are 15 possible unique combinations.

You can determine this in 2 ways:

-- The first color can be matched with 5 others, the second with 4 (because its pair with the first color already exists), then 3, then 2, then 1. 5+4+3+2+1 = 15

-- the formula is (n)(n-1) combinations, divided by 2 because there are identical pairs

6 x 5 = 30 and 30/2 = 15

You will always get the same number by either method.

For colors ABCDEF, the pairs are:

AB AC AD AE AF

BC BD BE BF

CD CE CF

DE DF

EF

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14y ago

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