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2009 UNCO Math Contest II Problems/Problem 4

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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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Introductory Number Theory Problems

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