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NDA2022MathematicsBinomial TheoremActual

If n 7 , then what is the probability that C(n, 7) is a multiple of 7?

Options

  1. A0
  2. B1 7
  3. C1 2
  4. D1

Correct answer

A. 0

Step-by-step solution

aligned & ^ n C₇= n! (n-7)!7! & = n(n-1)(n-2)(n-3)(n-4)(n-5)(n-6) 7! aligned is not divisible by 7 for n 7 n(E)=0 P(E)=0

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