The formula to calculate the Number of Partitions (P) is:
\[ P = \frac{n!}{k! \cdot (n - k)!} \]
Where:
In combinatorics, a partition of a set is a way of dividing the set into non-overlapping subsets such that every element of the set is included in exactly one subset. The number of partitions of a set is an important quantity in many areas of mathematics and can be calculated using the partition formula.
Let's assume the following values:
Using the formula:
\[ P = \frac{5!}{3! \cdot (5 - 3)!} = \frac{120}{6 \cdot 2} = 10 \]
The Number of Partitions (P) is 10.
