What is the difference between permutation and combination?

Problem Statement

What is the difference between permutation and combination?

Step-by-Step Explanation

Permutations count arrangements where order matters, while combinations count selections where order does not matter.

1. Identify what the question is asking. In Probability, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

Permutations count arrangements where order matters, while combinations count selections where order does not matter. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.