Suppose a state's license plate consists of 3 numbers followed by 3 letters. However, NO two...

Suppose a state's license plate consists of 3 numbers followed by 3 letters. However, NO two letters or numbers can be the same. How many different license plates can be made?

I don't understand how to solve this question because of the "NO"?

Expert Solution

This means all the numbers of letters are different.

Number of different license plates = 10P3 * 26P3 = 10 * 9 * 8 * 26 * 25 * 24 = 11232000

orchestra answered 2 years ago

If a license plate consists of two letters followed by four digits, how many different licenses...

If a license plate consists of two letters followed by four digits, how many different licenses could be created having at least one letter or digit repeated.

An automobile license plate consists of 3 letters followed by 4 digits. How many different plates...

An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made: a. If repetitions are allowed? b. If repetitions are not allowed in the letters but are allowed in the digits? c. If repetitions are allowed in the letters but not in the digits?

A license plate contains 3 letters in all caps followed by four numbers from (0,1,...9). A....

A license plate contains 3 letters in all caps followed by four numbers from (0,1,...9). A. Find the probability that the four numbers are all distinct on a license plate. B. Find the probability that there are three distinct letters and exactly two 5's on a license plate

A swedish license plate consists of three letters followed by three digits. Find the probability that...

A swedish license plate consists of three letters followed by three digits. Find the probability that a randomly selected plate has a) no duplicate letters b) no duplicate digits c) all letters the same d) only odd digits e) no duplicate letters and all digits equal

Suppose each license plate in a certain state has one digit followed by four letters, followed...

Suppose each license plate in a certain state has one digit followed by four letters, followed by one digit. The letters f,o,s, and x and the digit 0 are not used. So there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?

License plates in a given state must consist of three letters followed by four digits. The state's...

License plates in a given state must consist of three letters followed by four digits. The state's DMV has determined that there are eighteen three-letter words that cannot appear on license plates, and there are five four-digit numbers that cannot appear. How many license plates are banned? Your answer may be given as an integer, or as a formula. Either is acceptable.

How many possible license plates can be manufactured if a license plate consists of three letters...

How many possible license plates can be manufactured if a license plate consists of three letters followed by three digits and (a) the digits must be distinct, the letters can be arbitrary? (b) the letters must be distinct; the digits can be arbitrary? (c) The digits and the letters must be distinct.

A licence plate consists of seven symbols: digits or letters. How many license plates are there...

A licence plate consists of seven symbols: digits or letters. How many license plates are there if the following is true: (a) there must be three letters and four digits, and symbols may repeat? (b) no restrictions on the quantity of letters and numbers, and symbols may repeat?

An 8-character password consists of four numbers (from 1 to 9) followed by two letters (from...

An 8-character password consists of four numbers (from 1 to 9) followed by two letters (from A to Z) followed by two more numbers (from 1 to 9). a) How many different passwords can be formed if letters and numbers can be repeated? b) How many different passwords can be formed that have no repeated number or letters?

A license plate in a certain state consists of 4 digits, not necessarily distinct, and 3...

A license plate in a certain state consists of 4 digits, not necessarily distinct, and 3 letters, also not necessarily distinct. (a) How many distinct license plates are possible if no restriction? (b) How many distinct license plates are possible if it must begin and terminate by a digit? (c) How many distinct license plates are possible if it must begin and terminate by a letter? (d) How many distinct license plates are possible if the three letters must appear...

Question