Difference between revisions of "2009 UNCO Math Contest II Problems/Problem 4"

(Created page with "== Problem == How many perfect squares are divisors of the product <math>1!\cdot 2!\cdot 3!\cdot 4!\cdot 5!\cdot 6!\cdot 7!\cdot 8!</math> ? (Here, for example, <math>4!</math> ...")
 
m (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)
(No difference)

Revision as of 20:13, 19 October 2014

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