Last two digits

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What is the last 2 2 digits of 1 ! + 2 ! + . . . + 2013 ! + 2014 ! 1!+2!+...+2013!+2014! ?


The answer is 13.

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1 solution

Tay Yong Qiang
Aug 18, 2015

From 10 ! 10! onwards, all the terms have at least 2 trailling zeroes, thus the sum reduces to 1 ! + 2 ! + . . . + 9 ! 1! + 2! + ... + 9! which has 13 \boxed{13} as the last two digits.

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