What is P(12, 4)? — 12 Permute 4
There are 11880 possible permutations of 4 items chosen from 12 (nPr = 11880), and 495 combinations (nCr = 495).
Exact Answer
P(12, 4) = 11,880
Combinations C(n,r)
495
Permutations P(n,r)
11,880
n! (12!)
479,001,600
r! (4!)
24
Step-by-Step Solution: P(12, 4) = 11880
Step 1
Use the Permutations Formula nPr = n! / (n − r)!
Substitute n = 12 and r = 4: 12! = 479,001,600, (12−4)! = 40,320.
P(12, 4) = 11,880
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Combinations C(n,r) | 495 |
| Permutations P(n,r) | 11,880 |
| n! (12!) | 479,001,600 |
| r! (4!) | 24 |
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Frequently Asked Questions
What is the difference between C(12,4) and P(12,4)?
Combinations C(12,4) = 495 (order does not matter), whereas Permutations P(12,4) = 11880 (order matters).