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)

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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