20 choose 10
Choosing 10 from 20— order doesn't matter.
Combinations (order doesn't matter)
20C10 = 184,756
Permutations (order matters): 20P10 = 670,442,572,800
There are 184,756 ways to choose 10 items from 20when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
20 choose k table
| Expression | Combinations |
|---|---|
| 20 choose 10 | 184,756 |
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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 20 choose 10?+
20 choose 10 equals 184,756. It counts the number of ways to choose 10 items from 20 when the order does not matter.
What is the formula for 20 choose 10?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 20 choose 10: 20! / (10! · 10!) = 184,756.