Combinations & Permutations Calculator

Find out how many different ways to choose items.
Set n (total items), r (items chosen), and toggle Order & Repetition.

3
2
1
n
r
Permutations:
125
⋯
Formula: nr
List Them:
Type at least "n" names separated by commas, then "List"
⚠️ Too many results to display (max 5,000 shown). Showing first 5,000.

📝 Calculation Steps

Case Formula Result
Permutation & Combination Calculator — All calculations run locally in your browser.

Full Precision Calculator

Calculates answers to arbitrary precision using BigInt arithmetic — no floating point rounding errors.

Result will appear here
7
8
9
×
÷
4
5
6
+
−
1
2
3
(
)
0
.
^
⌫
C
!
e
π
√(
mod
⌊ ⌋
⌈ ⌉
|x|
gcd
lcm
History:

Examples: (click to try)

2^100 = 1267650600228229401496703205376
30! = 265252859812191058636308480000000
2 × pi = 6.28318530717958647692528676655900559...
1 ÷ 7 = 0.142857142857142857142857142857142857...
sqrt(2) = 1.41421356237309504880168872420969807...
100! ÷ (50! × 50!) = 100891344545564193334812497256