2009 UNCO Math Contest II Problems/Problem 4

Revision as of 21:13, 19 October 2014 by Timneh (talk | contribs) (moved 2009 UNC Math Contest II Problems/Problem 4 to 2009 UNCO Math Contest II Problems/Problem 4: disambiguation of University of Northern Colorado with University of North Carolina)

Problem

How many perfect squares are divisors of the product $1!\cdot 2!\cdot 3!\cdot 4!\cdot 5!\cdot 6!\cdot 7!\cdot 8!$ ? (Here, for example, $4!$ means $4\cdot 3\cdot 2\cdot 1$)

Solution

See also

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