Number of ways in which n balls be randomly distributed in n cells is

Ten identical balls are distributed in 5 different boxes kept in a row and labeled A, B, C, D and E. The number of ways in which the ball can be distributed in the boxes if no two adjacent boxes remains empty

Statement 1: ((n^2)!)/((n !)^n) is natural number of for all n in N Statement 2: Number of ways in which n^2 objects can be distributed among n persons equally is (n^2)!//(n !)^n .

Statement 1: ((n^2)!)/((n !)^n) is natural number of for all n in N Statement 2: Number of ways in which n^2 objects can be distributed among n persons equally is (n^2)!//(n !)^n .

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

Statement 1: ((n^(2))!)/((n!)^(n)) is natural number of for all n in N Statement 2: Number of ways in which n^(2) objects can be distributed among n persons equally is (n^(2))!/(n!)^(n)