DIVISION@TRICKY

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


The answer is 9.

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1 solution

Tarun Mali
Sep 16, 2014

First observe that 24 is nothing but 4!, so all the terms from 24 will be divisible by 24 now the terms which are left can be calculated and find the result . Remainder = 3!+2!+1!=9

not too tricky but great! @tarun mali

math man - 6 years, 9 months ago

The only trick to note was that 24 = 4 ! 24=4! !!

Anik Mandal - 6 years, 8 months ago

REally easy,

Aareyan Manzoor - 6 years, 8 months ago

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