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Three numbers are chosen at random from numbers 1 to 30. The probability that the minimum of the chosen numbers is 9 and maximum is 25, is

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Three numbers are chosen at random from numbers 1 to 30. The probability that the minimum of the chosen numbers is 9 and maximum is 25, is A. 1 406 B. 1 812 C. 3 812 D. none of these Select the correct answer from above options

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Correct Answer - C Out of first 30 natural numbers, three natural numbers can be chosen in . 30 C 3 . ways. If the minimum and maximum of the numbers chosen are 9 and 25 respectively, then we have to select a number from the remaining 15 numbers i.e. 10,11,..,.., 24. ∴ ∴ Favourable number of elementary events = . 15 C 1 = . Hence, required probability = . 15 C 1 . 30 C 3 = 3 812 =

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