8 choose 7
Choosing 7 from 8— order doesn't matter.
Combinations (order doesn't matter)
8C7 = 8
Permutations (order matters): 8P7 = 40,320
There are 8 ways to choose 7 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 |
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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 8 choose 7?+
8 choose 7 equals 8. It counts the number of ways to choose 7 items from 8 when the order does not matter.
What is the formula for 8 choose 7?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 8 choose 7: 8! / (7! · 1!) = 8.