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 3​, and repetition of letters and numbers is not​ permitted?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 70E: How many distinguishable words can be formed from the letters of the word casserole if each letter...
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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 3​, and repetition of letters and numbers is not​ permitted?
 
 
 
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