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KVPY2015MathematicsPermutation and Combination

The number of distinct primes dividing 12 !+13 !+14 ! is

Options

  1. A5
  2. B6
  3. C7
  4. D8

Correct answer

A. 5

Step-by-step solution

array l 121 !+131 !+141 ! 121 !(1+13+14 13) 121 196 array Which is only divided by possible distinct primes 2,3,5,7,11

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