Difference between revisions of "1972 IMO Problems/Problem 3"
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Let m and n be arbitrary non-negative integers. Prove that | Let m and n be arbitrary non-negative integers. Prove that | ||
| − | + | <math>((2m)!(2n)!)/mn!(m+n)!</math> | |
is an integer. (0! = 1.) | is an integer. (0! = 1.) | ||
| + | |||
| + | == Solution == | ||
Revision as of 15:38, 17 October 2014
Let m and n be arbitrary non-negative integers. Prove that
is an integer. (0! = 1.)