What is P(8, 3)? — 8 Permute 3
There are 336 possible permutations of 3 items chosen from 8 (nPr = 336), and 56 combinations (nCr = 56).
Exact Answer
P(8, 3) = 336
Combinations C(n,r)
56
Permutations P(n,r)
336
n! (8!)
40,320
r! (3!)
6
Step-by-Step Solution: P(8, 3) = 336
Step 1
Use the Permutations Formula nPr = n! / (n − r)!
Substitute n = 8 and r = 3: 8! = 40,320, (8−3)! = 120.
P(8, 3) = 336
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Combinations C(n,r) | 56 |
| Permutations P(n,r) | 336 |
| n! (8!) | 40,320 |
| r! (3!) | 6 |
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Frequently Asked Questions
What is the difference between C(8,3) and P(8,3)?
Combinations C(8,3) = 56 (order does not matter), whereas Permutations P(8,3) = 336 (order matters).