How many different license plates are possible if each contains 3 letters​ (out of the​ alphabet's 26​ letters) followed by 2 digits​ (from 0 to​ 9)? How many of these license plates contain no repeated letters and no repeated​ digits?

Answer:The number of ways the license plates contain no repeated letters and no repeated digits = 1,404,000Step-by-step explanation:The total number of alphabet's = 26The total number of digits  = 10 (0 - 9)The number plate contains 3 letters followed by 2 digits.The number of ways the license plates contain no repeated letters and no repeated digits.The number of ways first letter can be filled in 26 ways.The number of ways second letter can be filled in 25 ways.The number of ways third letter can be filled in 24 ways.The number of ways the first digit can be in 10 waysThe number of ways the second digit can be in 9 ways.The number of ways the license plates contain no repeated letters and no repeated digits = 26 × 25 × 24 × 1 0 × 9The number of ways the license plates contain no repeated letters and no repeated digits = 1,404,000