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KVPY2017MathematicsPermutation and Combination

The largest power of 2 that divides 200 ! 100 ! is

Options

  1. A98
  2. B99
  3. C100
  4. D101

Correct answer

C. 100

Step-by-step solution

Exponent of 2 in 200 !=197 Exponent of 2 in 100 !=97

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