10 choose 6
Choosing 6 from 10— order doesn't matter.
Combinations (order doesn't matter)
10C6 = 210
Permutations (order matters): 10P6 = 151,200
There are 210 ways to choose 6 items from 10when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
10 choose k table
| Expression | Combinations |
|---|---|
| 10 choose 0 | 1 |
| 10 choose 1 | 10 |
| 10 choose 2 | 45 |
| 10 choose 3 | 120 |
| 10 choose 4 | 210 |
| 10 choose 5 | 252 |
| 10 choose 6 | 210 |
| 10 choose 7 | 120 |
| 10 choose 8 | 45 |
| 10 choose 9 | 10 |
| 10 choose 10 | 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 10 choose 6?+
10 choose 6 equals 210. It counts the number of ways to choose 6 items from 10 when the order does not matter.
What is the formula for 10 choose 6?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 10 choose 6: 10! / (6! · 4!) = 210.