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MHT CET2012MathematicsPermutation and Combination

Three numbers are selected randomly between 1 to 20 . Then, the probability that they are consecutive numbers will be

Options

  1. A7 190
  2. B3 190
  3. C5 190
  4. D1 3

Correct answer

B. 3 190

Step-by-step solution

Number of sample space for selecting three numbers between 1 to 20= 20 3 Number of ways that they are consecutive numbers =18 . Required probability array l = 18 20 C₃= 18 3 2 20 19 18 = 3 190 array

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