Math Calculators
Permutation & Combination Calculator
Calculate permutations and combinations using factorials.
What is the Permutation & Combination Calculator & How does it work?
Permutations, denoted as P(n,r), are the number of ways to arrange r items from a set of n items where order matters. Combinations, denoted as C(n,r), are the number of ways to choose r items from a set of n items without regard to order.Use permutations when the sequence of selection is important, such as arranging people in a line. Use combinations when the sequence does not matter, like selecting a team from players.
P(n,r) = \frac{n!}{(n-r)!},\quad C(n,r) = \frac{n!}{r!(n-r)!}
n = total items, r = items to choose, ! = factorial
Parameters
#
#
Permutations (P(n,r))
—
Combinations (C(n,r))
—
Results are for informational purposes only and do not constitute professional advice.