8 choose 8
Choosing 8 from 8— order doesn't matter.
Combinations (order doesn't matter)
8C8 = 1
Permutations (order matters): 8P8 = 40,320
There are 1 ways to choose 8 items from 8when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
8 choose k table
| Expression | Combinations |
|---|---|
| 8 choose 0 | 1 |
| 8 choose 1 | 8 |
| 8 choose 2 | 28 |
| 8 choose 3 | 56 |
| 8 choose 4 | 70 |
| 8 choose 5 | 56 |
| 8 choose 6 | 28 |
| 8 choose 7 | 8 |
| 8 choose 8 | 1 |
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 8 choose 8?+
8 choose 8 equals 1. It counts the number of ways to choose 8 items from 8 when the order does not matter.
What is the formula for 8 choose 8?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 8 choose 8: 8! / (8! · 0!) = 1.