Example · High school
Terms
| Term | This example | Why |
|---|
| number of permutations |
$P(10, 2) = 90$
|
Electing a president and a vice president from $10$ members has $P(10, 2) = 10 \cdot 9 = 90$ outcomes, because there are $10$ choices for president and then $9$ for vice president.
|
| permutation |
✓ |
Each outcome of electing a president and a vice president from $10$ members is a permutation of $2$ of the members, because the outcome lists who is president first and who is vice president second.
|
| combination |
✗ |
An outcome of electing a president and a vice president from $10$ members is not a combination, because the order matters: Ana as president and Ben as vice president is a different outcome from Ben as president and Ana as vice president.
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