AMC / AIME · Stars and Bars · Easy

Stars and Bars: How many triples of nonnegative integers sum to math?

Integer solutions to linear equations.

Try the problem

How many triples of nonnegative integers sum to 1010?

Hint and answer

Concept to use

Nonnegative: $\binom{n+k-1}{k-1}$.

Hint

(10+3−12)\binom{10+3-1}{2}.

Answer

66

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