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 even​, 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 2​, and repetition of letters and numbers is not​ permitted?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...
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Question
License plates in a particular state are to consist of
3
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
even​,
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
2​,
and repetition of letters and numbers is not​ permitted?
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