Five balls of different colours are to be placed in three boxes of different sizes, each box can hold all the balls. In how many ways can we place the balls so that no box remains empty?

Five balls are to be placed in three boxes in how many diff. ways can be placed the balls so that no box remain empty if .

In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty?

In how many ways 5 different balls can be arranged into 3 different boxes so that no box remainns empty?

In how many ways can 5 different books be tied up in three bundles?

Six X 's have to be placed in the squares of the figure below, such that each row contains atleast one X. in how many different ways can this be done?

How many different signals can be generated from 6 flags of different colours if each signal makes use of all the flags at a time, placed one below the other?

There are three prizes to be distributed among 6 students. In how many ways can this be done when no boy gets all prizes.

A class has 30 students, In how many ways can three prizes be awarded so that: no student gets more than one prize?

In how many ways can 12 different balls be divided between 2 boys, one receiving 5 and the other 7 balls? Also, in how many ways can these 12 balls be divided into groups of 5,4 and 3 balls, respectively?