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Three numbers are chosen from 1 to 20. Find the probability that they are not consecutive

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Three numbers are chosen from 1 to 20. Find the probability that they are not consecutive Select the correct answer from above options

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Since, the set of three consecutive numbers from 1 to 20 are (1, 2, 3), (2, 3, 4), (3, 4, 5), ..., (18,19,20) Considering 3 numbers as a single digit ∴ the numbers will be 18 Now, we have to choose 3 numbers out of 20. This can be done in 20C3 ways ∴ n(S) = 20C3 The desired event is that the 3 numbers are choose must consecutive. So, Hence, the correct option is (B).

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