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the remainder obtained when the expression 1!+2!+3!+.........+(95)! is divided by 15 is??????? PLS EXPLAIN!!!!

the remainder obtained when the expression 1!+2!+3!+.........+(95)! is divided by 15 is???????


PLS EXPLAIN!!!!

Grade:9

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Shivam,

 

Starting from 5! and furhter all the terms are divisible by 15.

So the given expression is 1! + 2! + 3! + 4! + 15K = 1+2+6+24+15K = 33+15K.

Hence the remainder will be 3, when the above is divided by 15.

 

Hope it helps.

 

Wish you all the best.

Regards,

Ashwin (IIT Madras).

Aditya Kartikeya
16 Points
9 years ago

sir , 

its quite an interesting que but i dint  exactly get what u said!!

could u explain again!

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