18 Factorial

4! is four factorial which is 4!=4\times 3\times 2\times 1=24. If the sum of the expression 1!+2!+3!+\cdots +99!+100!+ 101! is divided by 18, what would be the remainder?
Source: mathcontest.olemiss.edu 10/7/2013

SOLUTION
This problem is similar to the problem titled “Factorial Remainder” dated 1/10/2011.

Answer: 9

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About mvtrinh

Retired high school math teacher.
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