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Homework Statement
This is just a problem i came up with while doing in equations, and recently saw in a book too.
Find the smallest integer n, for which
n! > 10n
The Attempt at a Solution
The trial method (with help from the computer) yields 25 to be the answer.
After a bit more of discussion, it did strike that 'n' lies between 20 and 30. (not very helpful )
But i believe there should be a definite way to solve this...
Any help appreciated.