A state license plate consists of three letters followed by three digits. If repetition is allowed, the number of different ways in which license plates are possible is 17,576,000.
An arrangement of items in a specific order is referred to as a permutation. When the order of the arrangements counts, it is a mathematical technique that establishes the total number of alternative arrangements in a collection.
Calculation for the permutation -
Three letters are followed by three digits on a state license plate.
26 letters from a to z and 10 numbers from 0 to 9 make up the alphabet.
The potential of arrangements is due to the license plate's composition of three letters and three numerals.
Total ways = 26×26×26×10×10×10
= 17,576,000
Therefore, the number of different ways in which license plates are possible is 17,576,000.
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