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What is the remainder left after dividing 1!+2!+3!.....+100! by 7?

  • A.5
  • B.14
  • C.21

Answer: B

7!+8!+9!.......+100! is completely divisible by 7.

Now, 1!+2!+3!....+6!=873

When 873 is divided by 7 it leaves a remainder =5.

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