How Many Combinations Does a 3 Number Lock Have?

Exact result

216,000

A 3-position lock code with 60 options per position has 216,000 possible codes.

A typical 3 number lock uses values 0 through 59 on each position, so each of the 3 ordered positions has 60 choices. Repeats like 00-00-00 are allowed, so the total is 60^3.

Worked steps

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Inputs: positions = 3, pool size = 60 from range 0 through 59
Formula: n^r
Substitute: 60^3
Steps: 60 x 60 x 60 = 216,000
Result: A 3-position lock code with 60 options per position has 216,000 possible codes.

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A typical 3 number lock uses values 0 through 59 on each position, so each of the 3 ordered positions has 60 choices. Repeats like 00-00-00 are allowed, so the total is 60^3.

Number of dials / positions

3

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.

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Calculation work

How many combinations does a 3 number lock have?

216,000

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