Placas de Carro BR (AAA-1234 sem repetição)

26³ × 10⁴.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Placas
175.760.000,00

Formula

26³·10⁴

About this calculator

This calculator determines how many license plates in the format AAA-1234 can be generated in Brazil, considering the old gray plate system. The calculation combines 26 letters (A-Z) for the first three positions and 10 digits (0-9) for the last four, resulting in 26³ × 10⁴ possibilities. The tool is useful for understanding the capacity of unique combinations before the introduction of the Mercosur standard.

The operation is simple: the calculator multiplies the number of options for each position. For letters, there are 26 options per position, totaling 26 × 26 × 26 = 17,576 combinations. For numbers, there are 10 options per position, totaling 10 × 10 × 10 × 10 = 10,000 combinations. The final product is 175,760,000 possible plates, without considering restrictions such as prohibited letters (there was never an official restriction in Brazil, but some combinations are avoided).

Use this calculator when you need to estimate the total number of possible plates in a licensing system, such as in traffic studies, fleet planning, or academic curiosity. It also serves as a basis for comparison with the new Mercosur format (which uses 4 letters and 3 numbers). Caution: the calculation assumes all combinations are allowed, but in practice some are reserved or omitted due to aesthetic or offensive reasons.

Frequently asked questions

Why is the calculation 26³ × 10⁴ and not something else?

The format AAA-1234 has 3 letters and 4 numbers, each position independent: 26 options for each letter and 10 for each number, multiplying all possibilities.

How many plates are possible in total?

There are 175,760,000 possible plates, resulting from 17,576 letter combinations times 10,000 number combinations.

Does this calculator consider Mercosur plates?

No, it calculates the old format (AAA-1234). Mercosur uses 4 letters and 3 numbers, with a different calculation.

Are there prohibited letters or numbers on Brazilian plates?

There is no official prohibition, but offensive combinations or those resembling government acronyms (like DETRAN) are avoided in practice.

Can I use this calculator for other countries?

Yes, if the format is the same, but check the local alphabet (e.g., some countries use 26 letters, others fewer).

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