15 choose 5
Choosing 5 from 15— order doesn't matter.
Combinations (order doesn't matter)
15C5 = 3,003
Permutations (order matters): 15P5 = 360,360
There are 3,003 ways to choose 5 items from 15when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
15 choose k table
| Expression | Combinations |
|---|---|
| 15 choose 5 | 3,003 |
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Frequently asked questions
What is 15 choose 5?+
15 choose 5 equals 3,003. It counts the number of ways to choose 5 items from 15 when the order does not matter.
What is the formula for 15 choose 5?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 15 choose 5: 15! / (5! · 10!) = 3,003.