Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?  Choose the most appropriate option:  A) 600  B) 620  C) 670  D) 690  E) 700
Suppose Anju is allotted bed number 1.   Then, Parvin cannot be allotted bed number 2.   So Parvin can be allotted a bed in 5 ways.   After allotting a bed to Parvin, the remaining 5 students can be allotted beds in 5! ways.   So, in this case the beds can be allotted in 5×5!=6005×5!=600 ways.   Option is 600
<result>A</result>
Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?