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Question 2. The province is considering changing its existing licence plate registration scheme for private vehicles to follow these convoluted guidelines: • Licence plates must follow the pattern MN-ABC-XY where A, B, and C are letters (A-Z), while M, N, X, and Y are digits (0-9); The letters I, O, or Q cannot appear anywhere in the licence plate; The digit X cannot be 0, unless both X and Y are 0; If M is even, then A must be a consonant; The three letters A, B, and C must all be different. (Vowels are A, E, I, O, U; all other letters are consonants.) (a) Does the pattern 42-TJY-00 satisfy the scheme above? How about the pattern 55-EXE-12? Explain your answer. (b) Determine how many possible licence plates the province can issue under this scheme.

Question 2. The province is considering changing its existing licence plate registration scheme for private vehicles to follow these convoluted guidelines: • Licence plates must follow the pattern MN-ABC-XY where A, B, and C are letters (A-Z), while M, N, X, and Y are digits (0-9); The letters I, O, or Q cannot appear anywhere in the licence plate; The digit X cannot be 0, unless both X and Y are 0; If M is even, then A must be a consonant; The three letters A, B, and C must all be different. (Vowels are A, E, I, O, U; all other letters are consonants.) (a) Does the pattern 42-TJY-00 satisfy the scheme above? How about the pattern 55-EXE-12? Explain your answer. (b) Determine how many possible licence plates the province can issue under this scheme.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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wiew File Edit View Go Tools Window Help A3-questions.pdf 1 page 1 1 Question 2. The province is considering changing its existing licence plate registration scheme for private vehicles to follow these convoluted guidelines: I 2 A Licence plates must follow the pattern MN-ABC-XY where A, B, and C are letters (A-Z), while M, N, X, and Y are digits (0-9); The letters I, O, or Q cannot appear anywhere in the licence plate; The digit X cannot be 0, unless both X and Y are 0; If M is even, then A must be a consonant; The three letters A, B, and C must all be different. (Vowels are A, E, I, O, U; all other letters are consonants.) (a) Does the pattern 42-TJY-00 satisfy the scheme above? How about the pattern 55-EXE-12? Explain your answer. (b) Determine how many possible licence plates the province can issue under this scheme. 1 option Z CKEDUP @ 2 ² W S X H command 3 so F3 E D $ 4 C F4 R F % 5 V FO T G ^ 6 MacBook Air B %6 Y 1 H O Q Q & 7 FF U N 8 J FR I M 20 ( 9 K 19 O < I H O L F10 P command > ; a Wed Nov 9 9:55 PM t F11 { + = ? option 11 I 43 . delete BUSIN
Transcribed Image Text:wiew File Edit View Go Tools Window Help A3-questions.pdf 1 page 1 1 Question 2. The province is considering changing its existing licence plate registration scheme for private vehicles to follow these convoluted guidelines: I 2 A Licence plates must follow the pattern MN-ABC-XY where A, B, and C are letters (A-Z), while M, N, X, and Y are digits (0-9); The letters I, O, or Q cannot appear anywhere in the licence plate; The digit X cannot be 0, unless both X and Y are 0; If M is even, then A must be a consonant; The three letters A, B, and C must all be different. (Vowels are A, E, I, O, U; all other letters are consonants.) (a) Does the pattern 42-TJY-00 satisfy the scheme above? How about the pattern 55-EXE-12? Explain your answer. (b) Determine how many possible licence plates the province can issue under this scheme. 1 option Z CKEDUP @ 2 ² W S X H command 3 so F3 E D $ 4 C F4 R F % 5 V FO T G ^ 6 MacBook Air B %6 Y 1 H O Q Q & 7 FF U N 8 J FR I M 20 ( 9 K 19 O < I H O L F10 P command > ; a Wed Nov 9 9:55 PM t F11 { + = ? option 11 I 43 . delete BUSIN
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