Question

1!+2!+3!+4!.............+49! divided by 7.Find the remainder

Answer 1

Answer:

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Answer 2

⇒ 1!+2!+3!+4!.............+49! divided by 7

⇒From 7! onward, these summed can be disregarded because they all contain 7 as a factor, and so their sum will result in no remainder

The sum of 5!+6! can as well because that is 120+720=840, and that is divisible by 7 as well.

⇒So need to be focused on is the sum of the first four factorials

i.e  1!+2!+3!+4! = 1+2+6+24 = 33

Thus the remainder will be 5..