8 choose 3
Choosing 3 from 8— order doesn't matter.
Combinations (order doesn't matter)
8C3 = 56
Permutations (order matters): 8P3 = 336
There are 56 ways to choose 3 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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Frequently asked questions
What is 8 choose 3?+
8 choose 3 equals 56. It counts the number of ways to choose 3 items from 8 when the order does not matter.
What is the formula for 8 choose 3?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 8 choose 3: 8! / (3! · 5!) = 56.