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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The probability that the selection contains at least one of each category is

Answer: (A)

Solution

. Four persons with at least one from each of three categories means one category supplies 2 persons:

- 2 L, 1 D, 1 E: Missing superscript or subscript argument{}^5C_2Missing superscript or subscript argument·{}^3C_1Missing superscript or subscript argument·{}^2C_1$ = 10·3·2 =

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Question ID VK-109748