Password Combination Calculator

This password combination calculator tool is crucial for understanding password strength and complexity in cybersecurity using C = R^L formula.

A simple password system that only allows numbers (0-9). With a password length of 3 digits, the calculator determine how many different combinations are possible, helping security professionals and users understand the password’s vulnerability to brute-force attacks.

We have a password requirement of exactly 3 digits:

Available characters: 0-9 (10 digits)

Length: 3 positions

Result: 10 × 10 × 10 = 1,000 possible combinations

Password Length:

Include Character Types:

Lowercase (a-z)

Uppercase (A-Z)

Numbers (0-9)

Symbols (!@#$...)

Password Type	Length	Character Set	Total Characters	Combinations
Numbers Only	4	0-9	10	10,000
Letters Only	6	A-Z, a-z	52	19,770,609,664
Full Set	8	All	94	6,095,689,385,410,816
PIN	6	0-9	10	1,000,000
Complex	12	All	94	475,920,314,814,253,376,475,136

Password Combination Calculation Formula

The formula for calculating how many possible passwords are there is:

C = R^L

Where:

C = Total number of possible combinations
R = Range (number of available characters)
L = Length of the password

For a more complex example involving multiple character types:

Uppercase letters (26 characters)

Lowercase letters (26 characters)

Numbers (10 characters)

Special characters (32 characters)

Total available characters = 94 For an 8-character password: 94^8 = 6,095,689,385,410,816 possible combinations

How to Calculate Password Combinations?

To calculate password combinations, follow these steps:

Identify Character Sets: Count available characters in each category, Sum all available characters
Determine Password Length: Fixed length or range, Minimum requirements per character type
Apply the Formula: Use C = R^L for fixed length, For variable lengths, sum the combinations for each length

For a password with:

Length: 6 characters

Character set: letters only (52 characters) Calculation: 52^6 = 19,770,609,664 combinations

How many combinations are in a 12-character password?

A 12-character password using all standard character types creates an extremely large number of possibilities.

Let’s break it down:

Using all character types (94 total characters):

26 uppercase letters
26 lowercase letters
10 numbers
32 special characters

Calculation: 94^12 = 475,920,314,814,253,376,475,136 combinations

How many combinations does a 9-digit password have?

For a 9-digit password (numbers only):

Available characters: 0-9 (10 digits)
Length: 9 positions
Calculation: 10^9 = 1,000,000,000 combinations

This shows that even with just numbers, a 9-digit password provides one billion possible combinations.

How many password combinations are possible with 4 numbers?

For a 4-digit PIN-style password:

Available characters: 0-9 (10 digits)
Length: 4 positions
Calculation: 10^4 = 10,000 combinations

This explains why 4-digit PINs are considered relatively weak for high-security applications.

How many password combinations are possible with 4 characters?

For a 4-character password using all character types:

Total available characters: 94
Length: 4 positions
Calculation: 94^4 = 78,074,896 combinations

Sources and References

National Institute of Standards and Technology (NIST): https://pages.nist.gov/800-63-3/

Relates Statistics Calculators :

Password Combination Calculator – How Many Possible Passwords Are There