Question

Five balls are to be placed in three boxes such that no box remains empty. If balls as well as boxes are identical but boxes are kept in a row, then number of ways is

Answer 1

If no box remains empty, then we can have $(1,1,3)$ or $(1,2,2)$ distribution pattern.
When boxes are kept in a row, they will be treated as different.
In this case, the number of ways will be ${}^3{C}_2+{}^3{C}_2=6$