When 1!+2!+...........+95! is divided by 15 , the remainder is

Answers (1)

Solution:

1!=1;2!=2;3!=6;4!=24;5!=120

All numbers form 5! to 95! are divisible by 15

Moreover , \ (5!+6!+7!+.........+95!) is also divisible by 15 ,

When \(1!+2!+3!+4!) is divided by 15, the reminder is 3

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