52 choose 13
Choosing 13 from 52— order doesn't matter.
Combinations (order doesn't matter)
52C13 = 635,013,559,600
Permutations (order matters): 52P13 = 3,954,242,643,911,239,680,000
There are 635,013,559,600 ways to choose 13 items from 52when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
52 choose k table
| Expression | Combinations |
|---|---|
| 52 choose 2 | 1,326 |
| 52 choose 5 | 2,598,960 |
| 52 choose 13 | 635,013,559,600 |
Try your own numbers
Need different values? The full permutations & combinations calculator computes nCr and nPr for any n and k.
Frequently asked questions
What is 52 choose 13?+
52 choose 13 equals 635,013,559,600. It counts the number of ways to choose 13 items from 52 when the order does not matter.
What is the formula for 52 choose 13?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 52 choose 13: 52! / (13! · 39!) = 635,013,559,600.