6 choose 3
Choosing 3 from 6— order doesn't matter.
Combinations (order doesn't matter)
6C3 = 20
Permutations (order matters): 6P3 = 120
There are 20 ways to choose 3 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 3?+
6 choose 3 equals 20. It counts the number of ways to choose 3 items from 6 when the order does not matter.
What is the formula for 6 choose 3?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 6 choose 3: 6! / (3! · 3!) = 20.