Question

# Find the remainder when $$1! + 2! + 3! + 4! + 5! + .... + 100!$$ is divided by 24 .

Solution

## We have to find the remainder when $$1!+2!+3!+……..+100!$$ is divided by $$24$$.$$1!+2!+3!+…….+100!=1+2+6+24+$$(multiply of $$24$$) then when it is divided by $$24$$, we get remainder as $$1+2+6=9$$.Maths

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