olymmath

AIME 2011b Problem 6

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Define an ordered quadruple of integers (a,b,c,d)(a, b, c, d) as interesting if 1≤a<b<c<d≤101 \le a<b<c<d \le 10, and a+d>b+ca+d>b+c. How many interesting ordered quadruples are there?

Dataset text AIME 1983 to 2026. Quoted with source.

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80

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