Multinomial Coefficient Calculator
Enter comma-separated non-negative counts. The coefficient is total! divided by the factorial of each count. Input is capped to prevent giant results.
A QUICK WALKTHROUGH
How to use this tool
- Enter 2–12 non-negative integer counts.
- Keep the total at or below 170.
- Calculate the exact coefficient locally.
Safe limits
Use 2–12 counts, each a non-negative integer, with total no greater than 170. Results are exact integers and may still be very large.
GOOD TO KNOW
Common questions
What does the list represent?
It represents category counts in a multiset.
Can counts be negative?
No. Negative and non-integer values are rejected.