5 choose 3
Choosing 3 from 5— order doesn't matter.
Combinations (order doesn't matter)
5C3 = 10
Permutations (order matters): 5P3 = 60
There are 10 ways to choose 3 items from 5when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
5 choose k table
| Expression | Combinations |
|---|---|
| 5 choose 0 | 1 |
| 5 choose 1 | 5 |
| 5 choose 2 | 10 |
| 5 choose 3 | 10 |
| 5 choose 4 | 5 |
| 5 choose 5 | 1 |
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Frequently asked questions
What is 5 choose 3?+
5 choose 3 equals 10. It counts the number of ways to choose 3 items from 5 when the order does not matter.
What is the formula for 5 choose 3?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 5 choose 3: 5! / (3! · 2!) = 10.