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7 students of a hostel are to be allotted 7 beds. Among them P

Question

$7$ students of a hostel are to be allotted $7$ beds. Among them Praveen does not want a bed next to Nandu because Nandu snores.Then in how many ways can you allot the beds?

3600

2400

2440

3680

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Michael Discussed

7

students of a hostel are to be allotted

7

beds. Among them Praveen does not want a bed next to Nandu because Nandu snores.Then in how many ways can you allot the beds?

5 mins ago

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Text solutionVerified

7

students of hostle

7

beds

Praveen doesnt want a bed near Nandu

Total possible allotments

= 7! = 720 \times 7 = 5040

Cases when Nandu are together

= 6! \times 2! = 720 \times 2 = 1440

Allotement such that praveen and Nandu are not together

= 5040 - 1440 = 3600

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Question Text	$7$ students of a hostel are to be allotted $7$ beds. Among them Praveen does not want a bed next to Nandu because Nandu snores.Then in how many ways can you allot the beds?
Answer Type	Text solution:1
Upvotes	150