How Many Combinations Does a 4 Letter Lock Have?

Exact result

456,976

A 4-position lock code with 26 options per position has 456,976 possible codes.

A typical 4 letter lock has 26 choices on each of 4 ordered dials. Codes like ABCD and DCBA are different, and repeated letters like AAAA are allowed, so the total is 26^4.

Worked steps

Show your work

Inputs: positions = 4, pool size = 26 from custom list (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)
Formula: n^r
Substitute: 26^4
Steps: 26 x 26 x 26 x 26 = 456,976
Result: A 4-position lock code with 26 options per position has 456,976 possible codes.

Interactive tool

Verify the same values in the calculator

A typical 4 letter lock has 26 choices on each of 4 ordered dials. Codes like ABCD and DCBA are different, and repeated letters like AAAA are allowed, so the total is 26^4.

Number of dials / positions

4

We are given a fixed number of dials or spins.

Dial type Use a define numberic range or custom symbol list on dials. Range start Inclusive first value on every dial. Range end Inclusive last value on every dial. Custom symbol list Enter comma-separated symbols or short tokens. Example: A,B,C,D or 10,20,30,59.

Result

0

Enter values to calculate.

What your result means

The explanation updates with the current inputs.

Calculation work

How many combinations does a 4 letter lock have?

456,976

Show your work

Verify the same values in the calculator

Lock preview