Question

You have n balls of differrent kind and you have infinite balls of each kind . Find number of ways to put the balls in m boxes such that each kind of balls are put and no box should contain more than same kind of balls

Answer 1

Answer:

Step-by-step explanation:

Here, we are counting the number of ways in which k balls can be distributed into n boxes under various conditions.

The conditions which are generally asked are

1. The balls are either distinct or identical.

2. The boxes are either distinct or identical.

3. No box can contain more than one ball or any box may contain more than one ball.

4. No box can be empty or any box can be empty.

This is an area which many students choose to ignore. However these concepts will help us in solving many advanced problems in permutations and combinations.

We can use the principles of permutations and combinations to deal with problems of distributing balls into boxes. The concept of identical boxes are more complicated and generally studied in detail in combinatorics.