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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 O 326.410 O 326.49 O 357 - 354

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 O 326.410 O 326.49 O 357 - 354

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**M/C** 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** - ○ \( 26^3 \cdot 35^4 \) - ○ \( 3^{26} \cdot 4^{10} \) - ○ \( 3^{26} \cdot 4^9 \) - ○ \( 35^7 - 35^4 \)
Transcribed Image Text:**M/C** 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** - ○ \( 26^3 \cdot 35^4 \) - ○ \( 3^{26} \cdot 4^{10} \) - ○ \( 3^{26} \cdot 4^9 \) - ○ \( 35^7 - 35^4 \)
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