8 choose 4
Choosing 4 from 8— order doesn't matter.
Combinations (order doesn't matter)
8C4 = 70
Permutations (order matters): 8P4 = 1,680
There are 70 ways to choose 4 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 4?+
8 choose 4 equals 70. It counts the number of ways to choose 4 items from 8 when the order does not matter.
What is the formula for 8 choose 4?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 8 choose 4: 8! / (4! · 4!) = 70.