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KCET2008MathematicsBinomial Theorem

The 1 !+4 !+7 !+10 !+12 !+13 !+15 !+16 !+17 ! is divisible by

Options

  1. A4
  2. B3 !
  3. C5
  4. D7

Correct answer

B. 3 !

Step-by-step solution

As we know the last two digits of 10 ! and above factorials will be zero-zero. 1 !+4 !+7 !+10 !+12 !+13 !+15 !+16 !+17 !=1+24+5040+10 !+12 !+13 !+15 !+16 !+17 !=5065+10 !+12 !+13 !+15 !+16 !+17 ! In this series, the digit in the ten place is 6 which is divisible by 3 ! .

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