Question 1 In a particular state, the license plates have 7 characters. Each character can be a capital letter or a digit except for 0. (The set of possible digits is {1; 2; 3; 4; 5; 6; 7; 8; 93.) A person witnesses a crime and remembers some information about the license plate of the getaway car. The authorities would like to figure out how many license plates need to be checked in each case. For each constraint give below, indicate the number of license plates that satisfy that constraint. Note: you do not need to calculate the number. You may keep the multiplications and powers in yo answers: Case a: The license plate starts with a digit Case b:First three are letters and last four are numbers Case a: 9 356. Case b: 26 3.9 4. O Case a: 9-35 6, Case b: 26'3-9*4. O Case a: 9-35^6, Case b: 26-9^4. O Case a: 9 ^6-, Case b: 26^3.9^4.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 1
In a particular state, the license plates have 7 characters. Each character can be a capital letter or a
digit except for 0. (The set of possible digits is {1; 2; 3; 4; 5; 6; 7; 8; 9).) A person witnesses a crime
and remembers some information about the license plate of the getaway car. The authorities would
like to figure out how many license plates need to be checked in each case. For each constraint giver
below, indicate the number of license plates that satisfy that constraint.
Note: you do not need to calculate the number. You may keep the multiplications and powers in you
answers:
Case a: The license plate starts with a digit
Case b:First three are letters and last four are numbers
O Case a: 9.35 6. Case b: 26*3.9 4.
O Case a: 9 35 6, Case b: 26*3.9*4.
O Case a: 9-35/6, Case b: 26.9^4.
O Case a: 9 ^6., Case b: 26^3.9^4.
Transcribed Image Text:ce the symb Question 1 In a particular state, the license plates have 7 characters. Each character can be a capital letter or a digit except for 0. (The set of possible digits is {1; 2; 3; 4; 5; 6; 7; 8; 9).) A person witnesses a crime and remembers some information about the license plate of the getaway car. The authorities would like to figure out how many license plates need to be checked in each case. For each constraint giver below, indicate the number of license plates that satisfy that constraint. Note: you do not need to calculate the number. You may keep the multiplications and powers in you answers: Case a: The license plate starts with a digit Case b:First three are letters and last four are numbers O Case a: 9.35 6. Case b: 26*3.9 4. O Case a: 9 35 6, Case b: 26*3.9*4. O Case a: 9-35/6, Case b: 26.9^4. O Case a: 9 ^6., Case b: 26^3.9^4.
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