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

Question

Mathematics

Casey Riddle

19 June, 04:13

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

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Answers (1)

Know the Answer?

Brooklynn Osborn · Answer 1

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.