A government agency hires you to provide consulting on new rules regarding vehicle license plates. The agency is considering an all-numbers license plate that has six slots (digits 0-9 with no duplicate digits allowed). How many possible license plates are there? Acceptable license plate: 134-058 Unacceptable license plate: 114-432 (duplicates) 151,200 The agency is also considering having a license plate with six slots where the first three slots have to be a number 0-9 (with no duplicate numbers allowed), and the last three slots must be an upper-case letter (with duplicate letters allowed). An example of a valid license plate under this rule is 423-PBN. How many possible license plates are there? [ Select ] The agency wants to use the same rules as the previous question, first three slots a number from 0-9 no duplicates and the last three upper-case letters and duplicates, but adding a rule that the capital letters I and L and number 1 can't be used, find how many possible license plates exist. Acceptable license plate: 892-KKT Unacceptable license plate: 123-IJL [ Select ]

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10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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A government agency hires you to provide consulting on new rules regarding vehicle
license plates. The agency is considering an all-numbers license plate that has six slots
(digits 0-9 with no duplicate digits allowed). How many possible license plates are
there?
Acceptable license plate: 134-058
Unacceptable license plate: 114-432 (duplicates) 151,200
The agency is also considering having a license plate with six slots where the first
three slots have to be a number 0-9 (with no duplicate numbers allowed), and the last
three slots must be an upper-case letter (with duplicate letters allowed). An example of
a valid license plate under this rule is 423-PBN.
How many possible license plates are there? [Select]
The agency wants to use the same rules as the previous question, first three slots a
number from 0-9 no duplicates and the last three upper-case letters and duplicates,
but adding a rule that the capital letters I and L and number 1 can't be used, find how
many possible license plates exist.
Acceptable license plate: 892-KKT
Unacceptable license plate: 123-IJL [ Select]
>
Transcribed Image Text:A government agency hires you to provide consulting on new rules regarding vehicle license plates. The agency is considering an all-numbers license plate that has six slots (digits 0-9 with no duplicate digits allowed). How many possible license plates are there? Acceptable license plate: 134-058 Unacceptable license plate: 114-432 (duplicates) 151,200 The agency is also considering having a license plate with six slots where the first three slots have to be a number 0-9 (with no duplicate numbers allowed), and the last three slots must be an upper-case letter (with duplicate letters allowed). An example of a valid license plate under this rule is 423-PBN. How many possible license plates are there? [Select] The agency wants to use the same rules as the previous question, first three slots a number from 0-9 no duplicates and the last three upper-case letters and duplicates, but adding a rule that the capital letters I and L and number 1 can't be used, find how many possible license plates exist. Acceptable license plate: 892-KKT Unacceptable license plate: 123-IJL [ Select] >
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