A plate number is made up of three letters from the English alphabet followed by a three-digit number. How many plate number are possible if:
a.the letters and digits can be repeated in the same plate number?
b.the letters and digits cannot be repeated in the same plate number?
Answers
A vehicle licence plate number consists of 3 letters followed by 3 digits. How many different licence plates are possible?
There are 26 letters, a -z in the alphabet, and 10 digits 0 through 9
Assuming repetition is allowed
Each letter position has 26 possibilities and each digit position has 10 possibilities
Thus, 26*26*26*10*10*10 = 17,576,000
However, in reality, some three letter words are not allowed, some three digit sets are not allowed, thus reducing the total number of plates by a little
One numeric set disallowed is 666
As for letters, the supervisor for a department’s special plate unit, he and other employees meet informally to decide which letters are OK and which are not.
The work never stops. Year after year, they systematically go through all possible three-letter combinations.
Answer:
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Step-by-step explanation: