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How many ways can you add 3 non-negative integers so the sum is less than 10?

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  1. 18 May, 11:06
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    0+1+9, 0+2+8, 0+3+7, 0+4+6, 0+5+5 gives 27 ways including permutations.

    1+1+8, 1+2+7, 1+3+6, 1+4+5 gives 21 ways.

    2+2+6, 2+3+5, 2+4+4 gives 12 ways

    3+3+4 gives 3 ways

    With permutations this gives 27+21+12+3=63 ways.
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