12 choose 10
Choosing 10 from 12— order doesn't matter.
Combinations (order doesn't matter)
12C10 = 66
Permutations (order matters): 12P10 = 239,500,800
There are 66 ways to choose 10 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 10?+
12 choose 10 equals 66. It counts the number of ways to choose 10 items from 12 when the order does not matter.
What is the formula for 12 choose 10?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 12 choose 10: 12! / (10! · 2!) = 66.