When should I use Permutations instead of Combinations?

Use Permutations when order matters (Position, Sequence, Rank). Use Combinations when the order doesn't matter (Selection, Committee, Group).

Is a 'Combination Lock' actually a Permutation?

Yes! Because the order of numbers matters (1-2-3 is different from 3-2-1), it is mathematically a 'Permutation Lock'.

No. You cannot arrange more items than you have in your initial set.

Race results (1st, 2nd, 3rd), phone numbers, license plates, and assigning specific roles (President vs Secretary).

A factorial is the product of all positive integers less than or equal to n. For example, 5! = 120.

Calculate ordered arrangements of items (nPr). Determine how many ways you can arrange a subset of items where order matters.

Complete User Guide

Find permutations with these steps:

Step 1: Enter the total number of items (n).

Step 2: Enter the items to be arranged (r).

Step 3: Click 'Calculate' to see the total number of unique arrangements.

Step 4: Use this when the order of items is important (e.g., a race finishing order).

The Mathematical Formula

P(n, r) = n! / (n - r)!

Permutations (nPr) are calculated when order is important:

- **Formula**: P(n, r) = n! / (n - r)! - **n**: Total items - **r**: Items chosen - **!**: Factorial (e.g., 4! = 4 x 3 x 2 x 1 = 24)

Frequently Asked Questions

Calculate

Verified Precise

Secure

100% Free

Precise