Fundamental Principle of Counting

Fundamental Principle of Counting

## Definition / Concept

If an operation can be performed in $$m$$ ways and another independent operation can be performed in $$n$$ ways, then both operations together can be performed in:

$$mn$$

ways.

For multiple independent operations:

$$m_1m_2m_3\cdots m_k$$

ways.

## Usage

- Used as the basic counting principle for solving permutation and combination problems.