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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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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answer is B.

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Detailed Solution

$Number of ways of arranging beds =^{6} P_{6} = 6! = 720$

$Number of ways in which Madhu and Puja have theire beds together is$

$(2) (^{5} P_{5}) = 2 (5!) = 240$

$Thus, required number of ways = 720 - 240 = 480$

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