MHT CET 2024 Mathematics question
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose chairs from amongst the chairs marked 1 to 4, and then the men select the chairs from amongst the remaining. The number of possible arrangements is
Answer: (B)
Solution
The two women are distinct persons and each occupies one chair out of chairs 1 to 4, so the number of ways for the women is (ordered selection). After this, 6 chairs remain (the 2 unused chairs among 1 to 4 and chairs 5 to 8), and the three distinct men choose chairs from these 6, giving
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