Calculation of the total number of available combinations of license plates for the standard Russian format (three numbers, three letters, region code) gives a result of 1.7 million options per region. This figure is obtained by multiplying 1000 number sequences by 12,500 letter combinations. However, actual availability depends on the number of letters allowed, law enforcement exceptions, and area code assignment rules, which greatly reduces the theoretical maximum.
Understanding the mathematics of license plates is necessary not only for theoretical research, but also for assessing the workload of the traffic police database. In large cities, such as Moscow or St. Petersburg, there is a pool of free series depleting faster, forcing the introduction of new three-digit area codes. Knowing the structure helps car owners understand the likelihood of getting a “nice” license plate or (specific) registration in a specific subject of the federation.
Mathematical calculation standard format
The calculation formula is based on the analysis of each sign separately. The Russian license plate type 1 (standard passenger car) consists of three numbers, three letters and a region code. The numbers can range from 0 to 9, giving 10 options for each position. Three digits form a number series from 001 to 999, excluding "000", which gives exactly 1000 options.
The situation with the letter part is more complicated, since Russian license plates use only those Cyrillic letters that have graphic analogues in the Latin alphabet. This is done to make it possible to read license plates abroad. There are 12 such letters in total: A, B, E, K, M, N, O, R, S, T, U, X. Letter combinations are calculated as 12 to the third power, which is equal to 1728. However, if we consider a complete search without taking into account semantic restrictions, we get exactly this base.
- 🔢 The digital part gives 1000 combinations (001-999).
- 🔤 The letter part of 12 characters gives 1728 combinations.
- 🚗 The final product gives 1,728,000 theoretical options.
It is important to note that not all 1728 letter series are used in practice. There are reserved series for government agencies, police, FSB and diplomatic corps. For example, series with letters AMR, EKH, KKK often assigned to departments. Therefore, the actual number of combinations available to citizens in each region is always less than the theoretical maximum.
When calculating the probability of obtaining the desired number, keep in mind that “mirror” and repeating series are often purchased by resellers or reserved by the traffic police long before they appear on public sale.
Impact of area code on number of numbers
The region code, located on the right side of the license plate, is a critical multiplier of the total capacity of the base. There are 89 federal subjects in Russia, but due to the high density of vehicles, some regions are assigned 2, 3 and even 4 codes. For example, Moscow uses codes 77, 99, 97, 177, 199, 777, 799. This allows you to “stretch” the limit of 1.7 million numbers by several million.
When a region runs out of combinations with a two-digit code, the traffic police enters a three-digit code. Mathematically, a three-digit code (from 100 to 999) allows you to encode up to 900 regions, but in reality the numbering is in the order of assignment. The appearance of a three-digit code in the number (for example, 199 for Moscow) indicates that previous pools combinations completely exhausted.
⚠️ Attention: The introduction of a new area code does not increase the number of letters and numbers in the series itself, but allows the region to begin numbering anew, effectively doubling or tripling the available pool of numbers for a given entity.
There is a misconception that a three-digit area code reduces the number of available numbers. In fact, it just takes up the space of two digits in the right margin. The format remains the same: 3 numbers + 3 letters + code. The only difference is that more space is allocated for the code, but this does not affect the number of combinations of the main series (1000 * 1728). Only the number of such codes allocated to the region matters.
Letter sequence restrictions
As mentioned earlier, using only 12 letters is the main limitation of the system. If the full alphabet of 33 letters were used (or even 30, excluding b, y, b), the number of combinations would increase exponentially. However, international standards and technical limitations of reading cameras dictate the use of only “Romanized” characters.
Some letters have different "weight" in different regions. For example, the letter Oh visually similar to zero, which sometimes raises questions among automatic recognition systems, although formally this is a permitted symbol. Letters And, Y, L, P, F, C, H, Shch, E, Yu, I are not used in standard rooms, which reduces variability.
There are also restrictions on the placement of letters. In the standard format, letters can appear in positions 1-2-3, 1-2-4, 1-3-4 and 2-3-4 (where the 4th position is the place after the numbers, but in the Russian Federation the format B TsTs BB or BB TsTs B is adopted). The format adopted in Russia is: B CCCC BB (one letter, three numbers, two letters) or BB CCC B (two letters, three numbers, one letter) - no, in the Russian Federation the standard for passenger cars is strictly: one letter, three numbers, two letters (for example, A 123 BV) or two letters, three numbers, one letter? Let's check GOST R 50577-2018. According to GOST, type 1 is used for passenger cars: one letter - three numbers - two letters. But are there also formats where the letters are swapped? No, in the Russian Federation the order is strictly fixed: letter, 3 numbers, 2 letters. Although there may have been variations in some older series or special equipment, now the standard is the same.
However, there is a nuance with “flag” numbers and special series. In some cases, the order may change for special vehicles, but for the mass user only one scheme is relevant. This simplifies the calculation: 12 options for the first letter, 12 for the fourth position and 12 for the fifth. Total $12 \times 12 \times 12 = 1728$ episodes.
Why is there no letter E?
The letter "Yo" is absent in Russian license plates, since it does not have a direct graphic analogue in the Latin alphabet (E is distinguished by the presence of dots), and also to avoid confusion during international circulation.
Special series and departmental numbers
A significant part of the theoretically possible combinations is reserved by the state. These are the so-called “flag” numbers or numbers of law enforcement agencies. They are not put on free sale and are not issued to ordinary citizens in accordance with the general procedure. The presence of such series reduces the available pool for citizens.
Reserved series include those used by the Ministry of Internal Affairs (police), FSB, FSO, prosecutor's office, and bailiffs. You can often find numbers with repeating letters or numbers that are reserved for regional administrations or large state corporations.
| Department/Type | Series example | Status |
|---|---|---|
| Presidential Administration | A 001..099 MR | Reserved |
| Ministry of Internal Affairs (Police) | B 001..999 OR | Departmental |
| FSB | A 001..199 MR | Special series |
| Judicial system | From 001..999 MR | Limited |
The presence of such series creates an artificial shortage of “beautiful” numbers. It is almost impossible for an ordinary user to obtain a number with codes 001-050 in popular series, since they are often in circulation for special equipment or are mothballed. This should be taken into account when trying to calculate the probability of getting the desired combination.
When will numbers run out in Russia?
The issue of exhaustion of combinations is acute for regions with a million population. At the current rate of motorization, even 1.7 million license plates per region may run out. The mechanism for solving this problem has already been worked out: the introduction of additional region codes. If the code ends with 77, enter 99, then 97, 177 and so on.
Theoretically, if you use all 1000 number combinations and 1728 letter combinations, as well as all possible three-digit region codes (there are 900 of them), then the total capacity of the system is colossal. But physical space on a license plate is limited. The three-digit area code already takes up almost half of the right side of the sign.
- 📉 There are already 7 region codes in use in Moscow.
- 📉 In the Krasnodar Territory and the Sverdlovsk Region there are 3-4 codes.
- 📉 The introduction of 4-digit region codes is technically possible, but requires changes to GOST.
⚠️ Attention: Switching to four-digit region codes (for example, 1000, 1001) will require changing the font size or number format, since the current GOST R 50577-2018 standard does not provide for 4 digits in the region field.
Experts agree that the current system will last for several more decades, especially given the introduction of electronic vehicle passports (EPV) and the possible elimination of physical plates (digital plates) in the future. However, for the classical scheme there is a reserve, but it is not infinite.
☑️ Checking number status
Probability of getting a criminal number
Many car owners dream of getting a license plate with repeating numbers (for example, 777) or letters. From the point of view of probability theory, the chance of getting a specific combination out of 1000 possible ones is 1 in 1000. However, given that “beautiful” numbers (three identical digits) make up only 0.9% of all combinations (9 in total: 111, 222... 999), the probability is extremely low.
The situation is aggravated by the fact that such numbers often do not reach the general issuing queue. They form a separate market or are distributed within departments. Therefore, for an ordinary citizen submitting documents to the standard traffic police window, the probability of receiving a number A 777 AA tends to zero, despite the fact that mathematically such a combination exists.
It's not just the math that's critical, it's also the human factor: The distribution of numbers is often controlled manually, and the best combinations are selected before entering the general database of free ones.
FAQ: Frequently asked questions
How many letters are used in Russian license plates?
Russian license plates use only 12 Cyrillic letters, which have graphic analogues in the Latin alphabet: A, B, E, K, M, N, O, R, S, T, U, X.
Why is there no letter E in the numbers?
The letter "Yo" is not used, since in the international alphabet (Latin alphabet), which the standard is based on, there is no exact analogue with diacritics (dots), and also to simplify reading by cameras.
What happens when all the combinations in the region run out?
The traffic police introduces a new three-digit region code. If area codes also run out (which is unlikely in the next 50 years), a change to the license plate format (for example, increasing the number of numbers or letters) will be required.
Can I choose my own combination of numbers?
Officially, the procedure is randomized. You can apply to keep a specific number (if it was previously on your car) or get a new random one. The paid service of choosing a specific combination “from scratch” is not formalized by law, although the market for “assistants” exists.
The total number of combinations in one region is about 1.7 million, but the actual availability for citizens is reduced due to reserved series and departmental restrictions.