๐Ÿ”ข Combination & Permutation Calculator

Enter n between 0 and 1000, with r โ‰ค n
Permutations (nPr)720
Combinations (nCr)120

Calculate the total number of permutations (nPr) and combinations (nCr) when choosing r items out of n. Permutations count order as significant, while combinations don't. Useful for probability and statistics homework, or for figuring out how many possible outcomes a lottery or drawing has.

How to use

  1. Enter the total number of items, n.
  2. Enter how many items to choose, r (r โ‰ค n).
  3. The permutation (nPr) and combination (nCr) values are calculated automatically.

FAQ

What's the difference between a permutation and a combination?

A permutation (nPr) counts different orderings of the chosen items as distinct. A combination (nCr) only counts the set of chosen items, ignoring order.

Is there a limit on n?

n is capped at 1000 to avoid calculation and display issues.

What happens if r is greater than n?

You can't choose more items than are available, so no result is shown. Make sure r โ‰ค n.