2024 AIME II Problems/Problem 11: Difference between revisions
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==Problem== | |||
Find the number of triples of nonnegative integers \((a,b,c)\) satisfying \(a + b + c = 300\) and | |||
\begin{equation*} | |||
a^2b + a^2c + b^2a + b^2c + c^2a + c^2b = 6,000,000. | |||
\end{equation*} | |||
==See also== | |||
{{AIME box|year=2024|num-b=10|num-a=12|n=II}} | |||
[[Category:]] | |||
{{MAA Notice}} | |||
Revision as of 09:35, 9 February 2024
Problem
Find the number of triples of nonnegative integers \((a,b,c)\) satisfying \(a + b + c = 300\) and \begin{equation*} a^2b + a^2c + b^2a + b^2c + c^2a + c^2b = 6,000,000. \end{equation*}
See also
| 2024 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
[[Category:]]
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