3 choose 2
Choosing 2 from 3— order doesn't matter.
Combinations (order doesn't matter)
3C2 = 3
Permutations (order matters): 3P2 = 6
There are 3 ways to choose 2 items from 3when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
3 choose k table
| Expression | Combinations |
|---|---|
| 3 choose 0 | 1 |
| 3 choose 1 | 3 |
| 3 choose 2 | 3 |
| 3 choose 3 | 1 |
Try your own numbers
Need different values? The full permutations & combinations calculator computes nCr and nPr for any n and k.
Frequently asked questions
What is 3 choose 2?+
3 choose 2 equals 3. It counts the number of ways to choose 2 items from 3 when the order does not matter.
What is the formula for 3 choose 2?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 3 choose 2: 3! / (2! · 1!) = 3.