Combinatorics! :)

A coat hanger has four knobs. If you have six different colors of paint available, how many different ways can you paint the knobs?


The answer is 1296.

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1 solution

Caleb Townsend
Feb 4, 2015

There are 6 6 ways to paint each knob, and there are 4 4 knobs. Therefore, the answer is 6 × 6 × 6 × 6 = 6 4 = 1296 6\times 6\times 6\times 6 = 6^4 = \boxed{1296}

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