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AP EAMCET2007MathematicsProbability

Four numbers are chosen at random from 1,2,3, , 40 . The probability that they are not consecutive, is

Options

  1. A1 2470
  2. B4 7969
  3. C2469 2470
  4. D7965 7969

Correct answer

C. 2469 2470

Step-by-step solution

Probability that four of the numbers are consecutive = ³⁷ C₁ ⁴⁰ C₄ Now, probability that four of the numbers are Now, probability that four of the numbers are consecutive =1- ³⁷ C₁ ⁴⁰ C₄ = 2469 2470

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