Permutation and Combination Calculator – Description

A Permutation and Combination Calculator is a powerful mathematical tool that helps compute the number of possible arrangements (permutations) and selections (combinations) of items from a given set. This calculator is essential for students, statisticians, and professionals working in probability, statistics, and combinatorics.

Key Features

✔ Easy-to-Use Interface – Input values for the total set size (n) and subset size (r) to get instant results.
✔ Accurate Calculations – Computes permutations (nPr) and combinations (nCr) using factorial formulas.
✔ Formula Display – Shows step-by-step calculations for better understanding.
✔ Responsive Design – Works smoothly on desktops, tablets, and mobile devices.
✔ Visual Appeal – Stylish gradient background with a clean, modern layout.

How It Works

1. Enter Values – Input the total number of items (n) and the number of items to arrange/select (r).
2. Click Calculate – The calculator instantly computes permutations and combinations.
3. View Results – See the formulas and final results for both permutation and combination calculations.

Permutation (nPr)

• Definition: The number of ways to arrange r items from a set of n items where order matters.
• Formula:nPr=n!(n−r)!nPr=(n−r)!n!​

Combination (nCr)

• Definition: The number of ways to select r items from a set of n items where order does not matter.
• Formula:nCr=n!r!×(n−r)!nCr=r!×(n−r)!n!​

Why Use This Calculator?

✅ Saves Time – Quickly solves complex combinatorial problems.
✅ Educational Tool – Helps students learn permutation and combination concepts.
✅ Error-Free Results – Eliminates manual calculation mistakes.

Perfect for math homework, probability problems, and statistical analysis! Try it now and simplify your calculations. 🚀