6 choose 6
Choosing 6 from 6— order doesn't matter.
Combinations (order doesn't matter)
6C6 = 1
Permutations (order matters): 6P6 = 720
There are 1 ways to choose 6 items from 6when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
6 choose k table
| Expression | Combinations |
|---|---|
| 6 choose 0 | 1 |
| 6 choose 1 | 6 |
| 6 choose 2 | 15 |
| 6 choose 3 | 20 |
| 6 choose 4 | 15 |
| 6 choose 5 | 6 |
| 6 choose 6 | 1 |
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Frequently asked questions
What is 6 choose 6?+
6 choose 6 equals 1. It counts the number of ways to choose 6 items from 6 when the order does not matter.
What is the formula for 6 choose 6?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 6 choose 6: 6! / (6! · 0!) = 1.