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KVPY2017MathematicsBinomial Theorem

The least value of a natural number n such that ( array c n-1 5 array )+ ( array c n-1 6 array ) < ( array l n 7 array ) , where ( array l n r array )= n ! (n-r) ! r ! , is

Options

  1. A12
  2. B13
  3. C14
  4. D15

Correct answer

C. 14

Step-by-step solution

n-1 5 + n-1 6 7n>13n_ =14

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