Difference between revisions of "1996 AIME Problems/Problem 3"

 
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 +
Find the smallest positive integer <math>n</math> for which the expansion of <math>(xy-3x+7y-21)^n</math>, after like terms have been collected, has at least 1996 terms.
  
 
== Solution ==
 
== Solution ==

Revision as of 15:02, 24 September 2007

Problem

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.

Solution

See also