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

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

Grade:

1 Answers

Swapnil Saxena
102 Points
9 years ago

The answwer for this question is 3.

When 1!+2!+3!+4!+5!....(95)! is divided by 15all the factorails from 5! + 6! + 7! + ... (95)! are divisible by 15 as they contain 3*5 as one of their factor.

Thus the remainder can be found by dividing 1!+2!+3!+4! by 15 = 33 by 15. = 3

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