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

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01-01-2018
Mathematics

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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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Rod44 Rod44 · Answer 1 · 2018-01-01T16:40:18+01:00

Rod44 Rod44

01-01-2018

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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