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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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Q: How many license plate combinations with three letters and two digits?
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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 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.


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?

26x26x26x10x10x10 = 17,576,000


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.


How many numbers or letters can a license plate have?

100,000,000,000,000,000,000,000,000


How many license plate combinations from 3 letters followed by 4 digits?

Presumably... 24 X 24 X 24 X 10 X 10 X10. If you don't mind the I (eye) being confused with the 1 (one) and etc. You mean permentations right, where ABA is different from BAA? At least that is what I answered.


How many license plate combination are possible if you can use 3 letters and 2 digits?

This depends on if you want repeats or not (or the state you are in) with repeats it is: 26x26x26x10x10= 1,757,600 without repeats it is: 26x25x24x10x9=1,560,000