Decision guide
Why this formula fits
This is a factorial or full permutation problem because all 6 distinct books are arranged in a row.
Does order matter? Order matters because swapping two books changes the shelf order.
Is repetition allowed? Repetition is not allowed because each physical book can appear only once.
Worked solution
6! is 720.
- Input: n = 6
- Formula: n!
- Substitute: 6!
- Steps: multiply every whole number from 1 through 6
- Result: 6! is 720.
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This is a factorial or full permutation problem because all 6 distinct books are arranged in a row.
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