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Combinatorics Calculator

Calculate various combinatorial scenarios

Permutation (Full)

Explanation

P(n)=n!P(n) = n!

Calculate the number of ways to arrange nn distinct objects in a sequence.

Example:

How many ways can you arrange 5 people in a line? 5!=1205! = 120 ways

Why this formula?

For the first position, you have nn choices. For the second position, you have (n1)(n-1) choices, and so on. This gives us n×(n1)×(n2)××1=n!n \times (n-1) \times (n-2) \times \cdots \times 1 = n!

Read more about full permutations .