99 Percentile Qs Bank for JEE MainMathematicsPermutation and Combination
In an examination hall there are ' (m n ) ' chairs in (m ) rows and (n ) columns. The number of ways in which (m ) students can be seated such that no row is vacant is
Options
- A(m^n n ) !
- B(n^m m ) !
- C(m^m n ! )
- D(n^n m ) !
Correct answer
B. (n^m m ) !
Step-by-step solution
Given that these is ' (m n ) ' chairs in (m ) rows and (n ) columns. ( ) Number of ways in which one student can seat in Ist column (=n ) So, similarly (m ) students can seat in (n^m ) ways. Since, students can be arranged in (m ) ! ways, ( ) Total number of ways (=m ! n^m ) ways