Question:
Suppose that six students, including Madhu and Puja, are having six beds arranged in a row. Further, suppose that Madhu does not want a bed adjacent to Puja. Then the number of ways, the beds can be allotted to students is :
Suppose that six students, including Madhu and Puja, are having six beds arranged in a row. Further, suppose that Madhu does not want a bed adjacent to Puja. Then the number of ways, the beds can be allotted to students is :
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Count all arrangements and subtract those in which Madhu and Puja have adjacent beds.
Updated On: Nov 12, 2026
- 264
- 480
- 600
- 384
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The Correct Option is B
Solution and Explanation
Total ways to allot 6 beds to 6 students \(=6!=720\).
Ways in which Madhu and Puja are adjacent: treat them as one unit, so 5 units can be arranged in \(5!=120\) ways, and the two can swap places in 2 ways: \(120\times2=240\).
Required number \(=720-240=480\).
Answer: (2) 480
Ways in which Madhu and Puja are adjacent: treat them as one unit, so 5 units can be arranged in \(5!=120\) ways, and the two can swap places in 2 ways: \(120\times2=240\).
Required number \(=720-240=480\).
Answer: (2) 480
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