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Paragraph: Consider the sum S =0!+1!+2!+3!+4!+ +100! Question: If the sum S is divided by 60 , what is the remainder?

Options

  1. A1
  2. B3
  3. C17
  4. D34

Correct answer

D. 34

Step-by-step solution

5!=120 All factorials of 5 or above are divisible by 60 Remainder will be from 0!+1!+2!+3!+4!=34

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