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Math Help - Combination

  1. #1
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    Combination

    There are 6 windows and you want to paint them. There are 4 colors to choose from, but you cannot mix the colors the windows. (each window must have a unique color)
    How many different combinations can you paint the windows?

    I think the answer is 3 x 4! or 6 x 4! but something doesn't feel right
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  2. #2
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    Paint the windows one at a time. There are 4 colours you can paint the first window, and 4 you can paint the second, and the third etc. so the number of combinations is 4^6 by the multiplication principle.
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  3. #3
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    Quote Originally Posted by badgerigar View Post
    Paint the windows one at a time. There are 4 colours you can paint the first window, and 4 you can paint the second, and the third etc. so the number of combinations is 4^6 by the multiplication principle.
    Hmm...Each window must have a unique color.
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  4. #4
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    Hmm...Each window must have a unique color.
    I think the answer is 0 then, because there are 6 windows and only 4 colours. If you want to seem extra mathy, invoke the pigeonhole principle.
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