Calculate ways to select or arrange items from a set.
Set Parameters
Count of Ways
Permutations (nPr)720Order Matters
Combinations (nCr)120Order Doesn't Matter
n!3,628,800
About this calculator
Permutations vs. Combinations
In combinations, the order of selection does not matter (like a fruit salad). In permutations, the order DOES matter (like a PIN code).
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Pro Tips
nPr is always greater than or equal to nCr for r > 1.
The value of r must be less than or equal to n.
0! is defined as 1.
!
Fun Facts
"There are 52! ways to shuffle a deck of cards—a number so large that every time you shuffle a deck, you likely produce an arrangement that has never existed before in history."
