License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. a) How many different license plates can there be in this state if repetition of letters and numbers is permitted? b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted? c) How many different license plates can there be in this state if the first and second digits must be odd, and repetition of letters and numbers is not permitted? d) How many different license plates can there be in this state if the first digit cannot be 4, and repetition of letters and numbers is not permitted?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters.
a) How many different license plates can there be in this state if repetition of letters and numbers is permitted?
b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted?
c) How many different license plates can there be in this state if the first and second digits must be odd, and repetition of letters and numbers is not permitted?
d) How many different license plates can there be in this state if the first digit cannot be 4, and repetition of letters and numbers is not permitted?
Transcribed Image Text:License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. a) How many different license plates can there be in this state if repetition of letters and numbers is permitted? b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted? c) How many different license plates can there be in this state if the first and second digits must be odd, and repetition of letters and numbers is not permitted? d) How many different license plates can there be in this state if the first digit cannot be 4, and repetition of letters and numbers is not permitted?
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