answersLogoWhite

0


Best Answer

Number of possible groups of 3 letters = 26 x 25 x 24 = 15,600. For each of these . . .

Number of possible groups of 3 digits = 9 x 9 x 8 = 648 .

Total number of possible distinct plates = 15,600 x 648 = 10,108,800

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How many different car license plates can be made using three letters followed by three digits if no letter can be repeated and zero cannot be used as the first digit?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

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 plates are possible consisting of 4 letters followed by 3 digit if the first letter must be a C?

1x26x26x26x10x10x10=17576000


How many different license plates are possible with two letters followed by three digits?

For every letter there are 26 possibilities, for every digit, 10. Multiply all of this together (26 x 26 x 10 x 10 x 10) = 676,000.


How many numbers or letters can a license plate have?

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


How many combinations do you get when you have three letters and three numbers?

720 is the number of ways to combine three known letters and three known numbers.For example, the letters A, B & C and the numbers 1, 2 & 3. The total combinations of these 6 characters is:(6 options)*(5 options)*(4)*(3)*(2)*(1) = 720.However, if the three numbers and three letters are unknown and any number or letter is possible, and repeated numbers or letters are acceptable (such as with a license plate), then the total possibilities for each "space" are multiplied together:(26 possibilities)*(26 possibilities)*(26 possibilities)*(10 possibilities)*(10 " ")*(10 " ") = 17,576,000 combinations.That is, there are 26 letters in the alphabet and 10 numbers (0 thru 9).This is assuming that three of the six spaces spaces are reserved for letters and three spaces are reservedfor numbers.If the combination can be any three letters and any three numbers where different combinations are made by changing whether each space contains a number or a letter, then the answer becomes a product and sum of different choose functions and is much more complicated...

Related questions

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

There are 26 possible letters and 10 possible numbers. The number of license plates possible is then 26*26*10*10*10*10 = 6760000.


Would License plates in toontown consist of three letters followed by a digit from 1 to 9 and if so how many different license plates are possible?

Any three letters, in any order, including repeated letters gives 263 combinations each of which could have one of 9 digits so 26 x 26 x 26 x 9 ie 158184 different plates.


What is the probability of getting a license plate with a repeated letter or digit if you live in a state that has a 3 letters followed by 2 numbers?

The number of license plates without a repeated letter or digit is 26x25x24x10x9 = 1 404 000. The number of license plates without any restriction is 26x26x26x10x10 = 1 757 600. Probability of a license plate without a repeated letter or digit = 1 404 000 /1 757 600 = 0.7988 Probability of a license plate with a repeated letter or digit = 1-0.7988 = 0.2022


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 is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has three numerals followed by two letters followed by three numerals?

This is one minus the probability of having no repeated letters. The probability of having no repeated numbers is 10/10 x 9/10 x 8/10 x 7/10 x 6/10 x 5/10 which equals 0.1512. The probability of having no repeated letters is 26/26 x 25/26 = 0.96153846153846153846153846153846 These multiplied together gives 0.14538461538461538461538461538462 1 minus this is 0.85461538461538461538461538461538 And so the probability of having a repeater letter or digit is roughly 0.855


How many license plates can be made using two letters followed by two numbers followed by one letter?

1757600


How many license plates can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters?

How many license plates can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters?


How many possible license plate numbers can be made from 1 numerical digit followed by 3 letters followed by 3 numerical digits?

each of the four numbers have 10 possibilities, and each of the three letters have 26 possibilities. so the total possible ways u can arrange them are 10x10x10x10x26x26x26 this totals up to 175,760,000 different license plate numbers


How many 3 letter and 3-digit license plates can Uncle Pennybags make with no repeated digits or letters?

11,232,000


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


What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one numeral followed by two letters followed by six numerals?

This may not be quite as straightforward as it first seems. In the UK, which has a different letter-number combination, some letters are not used so as to avoid confusion for example O and 0, or I and 1. If that is the case, then the probability of a particular digit is not 1/10. Also, some letter combinations that spell offensive words are disallowed. The consequence is that not all 26 letters of the alphabet are used and those that are may not be used in the same proportion. This will probably not apply if there are only two letters.


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.