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М/С 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 given below, indicate the number of license plates that satisfy that constraint. First three are letters O 263.354 о 36.410 O 326.49 O 357 - 354

М/С 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 given below, indicate the number of license plates that satisfy that constraint. First three are letters O 263.354 о 36.410 O 326.49 O 357 - 354

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 6.33EP
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**License Plate Analysis** 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 given below, indicate the number of license plates that satisfy that constraint. **Constraint: First three are letters** 1. \(26^3 \cdot 35^4\) 2. \(3^{26} \cdot 4^{10}\) 3. \(3^{26} \cdot 4^9\) 4. \(35^7 - 35^4\)
Transcribed Image Text:**License Plate Analysis** 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 given below, indicate the number of license plates that satisfy that constraint. **Constraint: First three are letters** 1. \(26^3 \cdot 35^4\) 2. \(3^{26} \cdot 4^{10}\) 3. \(3^{26} \cdot 4^9\) 4. \(35^7 - 35^4\)
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