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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Eight chair are numbered to . Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chair marked to ; and then the men select the chairs from amongst the remaining. The number of possible arrangement is

Answer: (B)

Solution

The two women take two of chairs to in ways (order matters as they are distinct persons). Six chairs remain,

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Question ID VK-020499