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.
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.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 22E: License Plate Numbers In a certain state, each automobile license plate number consists of two...
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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.
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