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Six distinct numbers are chosen from the first 10 natural numbers. The probability that 6 is the third largest of those chosen numbers, is

Options

  1. A2 7
  2. B5 21
  3. C10 63
  4. D16 63

Correct answer

A. 2 7

Step-by-step solution

Total cases = C 6 10 Favourable cases = C 2 4 · 1 C 1 · 5 C 3 Required probability = C 2 4 · 1 C 1 · 5 C 3 C 6 10 = 2 7

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