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I suspect that you want permutations rather than combinations. The permutation ABC is different from ACB, but they are both the same combination.

There are 26*26*26*10*10 or 1,757,600 possible permutations of 3 letters followed by 2 numbers. But there are ten ways of arranging 3 letters and 2 numbers: eg LLLNN, LNLNL etc.

All in all, therefore, 17,576,000 permutations.

However, some letters are not used so as to avoid confusion between letters and numbers: eg 0 and O. Also, some sequences are not used because they form (or suggest) inappropriate words.

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How many different ways can a license plate be made containing two letters and three digits with repetition of the numbers and letters not allowed?

There are 676,000 ways to make the license plates.


If a license plate consists of two letters followed by four digits how many different plates are possible?

If all letters and numbers are allowed, the possibilities are 26x26x10x10x10x10. So: 6760000 different plates.


A license plate has a three-digit number printed on it The product of the digits is 210 their sum is 18 and the numbers appear in descending order from left to right what is the license plate number?

765


How many license plates with 3 decimal digits followed by 3 letters can you build if you are not allowed to repeat digits and you are not allowed to repeat letters?

3 decimal digits without repeats can form (10 x 9 x 8) = 720 distinct displays.For each of these . . .3 letters without repeats can form (26 x 25 x 24) = 15,600 distinct displays.Combine them on one plate, and there are (720) x (15,600) = 11,232,000 distinct displays available.


If automobile license plates consist of two letters followed by four digits how many different possible license plates are possible if letters and numbers can be repeated?

If the identifying information on each license plate consists of (letter-1)(letter-2)(digit-1)(digit-2)(digit-3)(digit-4), and repetition is allowed: letter-1 has 26 choices, and for each one ... letter-2 has 26 choices, and for each one ... digit-1 has 10 choices, and for each one ... digit-2 has 10 choices, and for each one ... digit-3 has 10 choices, and for each one ... digit-4 has 10 choices. Total number of choices = 262 x 104 = ( 26 x 26 x 10 x 10 x 10 x 10 ) = 676 x 10,000 = 6,760,000

Related Questions

How many license plate combinations can be made using three letters and four numbers you may use the numbers and letters more than once.?

To calculate the number of license plate combinations using three letters and four numbers, we consider the possibilities for each part separately. There are 26 letters in the English alphabet, so for three letters, there are (26^3) combinations. For the four numbers, using digits 0-9, there are (10^4) combinations. Therefore, the total number of combinations is (26^3 \times 10^4), which equals 17,576,000 combinations.


How many license plate combinations from 3 digits followed by 3 letters?

There are 26 different letters that can be chosen for each letter. There are 10 different numbers that can be chosen for each number. Since each of the numbers/digits that can be chosen for each of the six "spots" are independent events, we can multiply these combinations using the multiplicative rule of probability.combinations = (# of different digits) * (# of different digits) * (# of different digits) * (# of different letters) * (# of different letters) * (# of different letters) = 10 * 10 * 10 * 26 * 26 * 26 = 103 * 263 = 1000 * 17576 = 17,576,000 different combinations.


How many license plate combinations are there between AAA-000 and ZZZ-999?

To calculate the number of license plate combinations between AAA-000 and ZZZ-999, we consider that there are 26 letters (A-Z) for each of the three letter positions and 10 digits (0-9) for each of the three digit positions. This gives us (26^3 \times 10^3 = 17,576 \times 1,000 = 17,576,000) possible combinations. Therefore, there are 17,576,000 unique license plate combinations in this range.


Where is your plate type located on your drivers license?

In most states, the number itself tells those who need to know what kind of license it is. In California, most cars and trucks have a digit, three letters and three more digits. A commercial truck plate has a letter followed by six digits, and there are other combinations for big trucks, trailers, and other categories.


A License plate has 3 letters and 3 digits in that order A witness to a hit and run accident saw the first 2 two letters and last one digit If the digits and letters can be repeated?

2600


How many different ways can a license plate be made containing two letters and three digits with repetition of the numbers and letters not allowed?

There are 676,000 ways to make the license plates.


How many possible combinations could be constructed using 3 letters and 3 numbers for a license plate?

To calculate the total number of possible combinations for a license plate using 3 letters and 3 numbers, we need to multiply the number of options for each character position. For letters, there are 26 options (A-Z), and for numbers, there are 10 options (0-9). Therefore, the total number of combinations can be calculated as 26 (letters) * 26 (letters) * 26 (letters) * 10 (numbers) * 10 (numbers) * 10 (numbers) = 17,576,000 possible combinations.


How many license plates are in a Californian sequence for example 1aaa001-1zzz999?

If I understand correctly the first number has to be '1', the next three digits have to be letters, and the last digit can't be '0', so there are1x26x26x26x10x10x9 = 15,818,400 possible Californian licence plate combinations.


If a license plate consists of two letters followed by four digits how many different plates are possible?

If all letters and numbers are allowed, the possibilities are 26x26x10x10x10x10. So: 6760000 different plates.


What A license plate consists of 2 letters followed by 4 digits letters and digits can be repeated. Find the probability that your new license plate begins with a vowel and ends with a multiple of 3.?

Independent events, so P(both)=(5/26)(4/10)=0.07692307692. The 4/10 comes from the fact that 0, 3, 6, and 9 are the 4 digits that are multiples of 3.


How many 3 letter combinations are there in license plates?

In California, for example, the first digit of a standard plate is a number, followed by 3 letters, and then three numbers. There are 26 letters in the alphabet, so there are 26 raised to the 3rd power combinations, or 26 * 26 * 26, which is 17,576 possibilities just of the 3 letters.


What does AB on 1937 California license plate mean?

The "AB" on a 1937 California license plate indicates the series or type of the plate issued during that year. California license plates from that era used a combination of letters and numbers to designate different registrants, with the letters often denoting a specific sequence or category. Each year, the state released new registrations, and the letter combinations helped differentiate vehicles registered in different years.