Suppose your vehicle is licensed in a state that issues license plates that consist of 3 digits (between 0 and 9) followed by 3 letters (between A and Z). digit1 digit2 digit3 letter1 letter2 letter3 a.How many different ordered sequences of 3 digits can be arranged out of the number digits? b.How many different ordered sequences of 3 letters can be arranged out of the letter digits? c.If a license number is selected randomly, what is the probability that yours is the one selected? Hints: How many different designs of license plates are possible out of the 0-9 digit and A-Z letter selections? What counting technique/s will you use? Note that you will only choose one design for your own license plate.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Suppose your vehicle is licensed in a state that issues license plates that consist of 3 digits (between 0 and 9) followed by 3 letters (between A and Z). digit1 digit2 digit3 letter1 letter2 letter3

a.How many different ordered sequences of 3 digits can be arranged out of the number digits?

b.How many different ordered sequences of 3 letters can be arranged out of the letter digits?

c.If a license number is selected randomly, what is the probability that yours is the one selected?

Hints: How many different designs of license plates are possible out of the 0-9 digit and A-Z letter selections? What counting technique/s will you use? Note that you will only choose one design for your own license plate.

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