Calculating number of ways of dividing people or distinct objects into groups of the same size often pose difficulty to students.

Hopefully these examples will help students understand the concept.

**Basic Example**

How many ways can 10 children be divided into two groups of 5?

When dividing people or distinct objects into groups, if *p* groups are **indistinguishable**, we need to **divide by ***p*! to avoid double counting.

**Challenging example 1 **

At a particular reception, 9 guests are to stand at 3 identical round tables. How many ways can this be done if there are at least two people at each table?

**Challenging example 2 (SAJC 2011/MYCT/2/6)**

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