Factorials & Ordered Arrangements
When distinct objects fill ordered positions, the number of available choices shrinks one position at a time, creating factorial products.
What you'll learn
- Build an ordered-arrangement count by multiplying the shrinking number of choices for successive positions.
- Interpret n! as n × (n−1) × ··· × 2 × 1 and explain 0! through the single empty arrangement.
- Decide whether order and object distinctness make a factorial count valid without adjustment.
Before you start
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