# Permutation and Combination Calculator

Permutation and Combination Calculator is a free online tool that displays the permutation and combination for the given number of the number of trials. BYJU’S online permutation and combination calculator tool performs the calculation faster and it displays the possible number of combinations in a fraction of seconds.

## How to Use the Permutation and Combination Calculator?

The procedure to use the permutation and combination calculator is as follows:

Step 1: Enter the total items and items at a time in the input field

Step 2: Now click the button “Submit” to get the result

Step 3: Finally, the permutation and combination for the given number of trials will be displayed in the new window

### What is Meant by Permutation and Combination?

In mathematics, the permutation is a process of arranging ‘n’ objects taken ‘r’ at a time. The combination is a process of selecting ‘n’ objects taken ‘r’ at a time. To find the possibilities of the given event, the following permutation and combination formulas are used.

Permutation Formula: P(n, r) = (n!)/((n-r)!)

Combination Formula: C(n, r) = (n!)/(r! (n-r)!)

Substitute the value of n and r to the permutations and combinations.

To recall, the permutation is the process of selecting the elements or the objects in a collection of elements, where the ordering of elements plays an important role. Whereas, the combination is the process of selecting elements from the elements, where the order of elements does not matter. Thus, the permutation and combination is a process, which focuses on the number of ways to select the elements from a set.