Password Combination Calculator

Calculate the number of possible password combinations and assess security strength

Password Configuration

Character Set Options

26 characters
26 characters
10 characters

Available symbols: ! " # $ % & ' ( ) * + , - . / : ; < = > ? @ [ \ ] ^ _ ` { | } ~

Calculation Results

Password Statistics

Character set size:94
Password length:8
Total combinations:6.095 × 10^15
Valid combinations:6.095 × 10^15

Security Analysis

Invalid combinations:0
Avg. crack time:35.28 days
*Assuming 1 billion attempts per second

Security Assessment

⚠️ Moderately Secure: This password could be cracked in days to months.

Example Calculation

8-Character Password Example

Configuration: Uppercase + Lowercase + Numbers + 8 symbols

Character set size: 26 + 26 + 10 + 8 = 70 characters

Requirements: At least 1 uppercase, 1 number

Calculation Process

Total combinations = 70^8 = 57,628,162,000,000,000

Invalid (no uppercase) = 44^8 = 19,281,419,067,392

Invalid (no numbers) = 60^8 = 16,777,216,000,000,000

Valid combinations ≈ 40,850,946,000,000,000

Password Security Tips

Use at least 12 characters for strong passwords

Include uppercase, lowercase, numbers, and symbols

Avoid dictionary words and common patterns

Use unique passwords for each account

Character Set Reference

Lowercase (26)

a b c d e f g h i j k l m n o p q r s t u v w x y z

Uppercase (26)

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Numbers (10)

0 1 2 3 4 5 6 7 8 9

Symbols (32)

! " # $ % & ' ( ) * + , - . / : ; < = > ? @ [ \ ] ^ _ ` { | } ~

Strength Guidelines

Weak

< 1 day to crack

Moderate

Days to months

Strong

> 1 year to crack

Very Strong

> 1,000 years to crack

Understanding Password Combinations

What Are Password Combinations?

Password combinations represent the total number of possible passwords that can be created using a specific set of characters and length constraints. This calculation helps assess the security strength of password policies against brute-force attacks.

Why Does Length Matter?

  • Each additional character exponentially increases combinations
  • 8 characters: millions of combinations
  • 12 characters: trillions of combinations
  • 16 characters: quintillions of combinations

Mathematical Formula

Basic Formula

Total Combinations = n^k

n = character set size

k = password length

With Requirements

Valid = Total - Invalid

Uses inclusion-exclusion principle to subtract passwords that don't meet requirements

Security Considerations

Brute Force Attacks

Systematic attempts to guess passwords by trying all possible combinations

Dictionary Attacks

Using common words and patterns reduces effective password strength

Computing Power

Modern systems can attempt billions of combinations per second