12 choose 11
Choosing 11 from 12— order doesn't matter.
Combinations (order doesn't matter)
12C11 = 12
Permutations (order matters): 12P11 = 479,001,600
There are 12 ways to choose 11 items from 12when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
12 choose k table
| Expression | Combinations |
|---|---|
| 12 choose 0 | 1 |
| 12 choose 1 | 12 |
| 12 choose 2 | 66 |
| 12 choose 3 | 220 |
| 12 choose 4 | 495 |
| 12 choose 5 | 792 |
| 12 choose 6 | 924 |
| 12 choose 7 | 792 |
| 12 choose 8 | 495 |
| 12 choose 9 | 220 |
| 12 choose 10 | 66 |
| 12 choose 11 | 12 |
| 12 choose 12 | 1 |
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Need different values? The full permutations & combinations calculator computes nCr and nPr for any n and k.
Frequently asked questions
What is 12 choose 11?+
12 choose 11 equals 12. It counts the number of ways to choose 11 items from 12 when the order does not matter.
What is the formula for 12 choose 11?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 12 choose 11: 12! / (11! · 1!) = 12.