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Q.

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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a

264

b

480

c

600

d

384

answer is B.

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Detailed Solution

Number of ways of arranging beds =6P6=6!=720Number of ways in which Madhu and Puja have theire beds together is (2) 5P5=2(5!)=240Thus, required number of ways =720−240=480

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