52 choose 5
Choosing 5 from 52— order doesn't matter.
Combinations (order doesn't matter)
52C5 = 2,598,960
Permutations (order matters): 52P5 = 311,875,200
There are 2,598,960 ways to choose 5 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 |
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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 52 choose 5?+
52 choose 5 equals 2,598,960. It counts the number of ways to choose 5 items from 52 when the order does not matter.
What is the formula for 52 choose 5?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 52 choose 5: 52! / (5! · 47!) = 2,598,960.