Problem

1996 AIME Problem 3

Find the smallest positive integer n for which the expansion of (xy-3x+7y-21)^n, after like terms have been collected, has at least 1996 terms.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Category: AIME
Points: 3
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