Example · High school
Terms
| Term | This example | Why |
|---|
| combination |
✓ |
The set $\setdef{A, B}$ is a combination of $2$ of the letters $A$, $B$, and $C$, because it contains $2$ different letters, with no order.
|
| permutation |
✗ |
The set $\setdef{A, B}$ is not a permutation, because a set does not list its elements in an order: $\setdef{A, B}$ and $\setdef{B, A}$ are the same set.
|
Distinctions using this example
- Permutation vs. combination: The set $\setdef{A, B}$ is one combination, but the same two letters form two permutations, $(A, B)$ and $(B, A)$.
All examples · All distinctions · All definitions