In one state, each automobile license plate shows three letters followed by two digits, or two digits followed by three letters. How many different license plates can be made such that the following is true? (a) repetition of digits and letters is allowed (b) repetition of digits and letters is not allowed

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 1T: Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They...
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In one state, each automobile license plate shows three letters followed by two digits, or two digits followed by three letters. How many different license plates can be made such that the following is true?
(a) repetition of digits and letters is allowed
(b) repetition of digits and letters is not allowed
Transcribed Image Text:In one state, each automobile license plate shows three letters followed by two digits, or two digits followed by three letters. How many different license plates can be made such that the following is true? (a) repetition of digits and letters is allowed (b) repetition of digits and letters is not allowed
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