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

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

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.