In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is _____

Find the number of ways in which five friends sit in seven vacant seats in a bus ?

There are n seats round a table numbered 1,2,3,dots,n. The number of ways in which m(<=n) persons can take seats is

There are five students S_1, S_2, S_3, S_4 and S_5 in a music class and for them there are five seats R_1, R_2, R_3, R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i , i=1, 2, 3, 4, 5 . But, on the examination day, the five students are randomly allotted five seats. The probability that, on the examination day, the student S_1 gets the previously allotted seat R_1 , and NONE of the remaining students gets the seat previously allotted to him/her is 3/(40) (b) 1/8 (c) 7/(40) (d) 1/5

Ten IIT students and 2 DCE students sit in a row.The number of ways in which exactly 3 IIT students sit in between 2 DCE students

Six boys are to be seated in a row.The number of ways in which any 3 boys are not seated in the places specified to them,is

In a class of 10 students roll numbers are written on their respective chairs. Find the ways in which exactly 3 students do not sit on their chairs .

In a class of 10 students,roll numbers are written on their respective chairs.Find the ways in which exactly 4 students do not sit on their chairs.

Nine people sit around a round table. The number of ways of selecting four of them such that they are not from adjacent seats, is

Out of 2n+1 students, n students have to be given the scholarships. The number of ways in which at least one student can be given the scholarship is 63. What is the number of students receiveing the scholarship?