A certain identification number is a sequence of six digits. (a) How many identification numbers are possible? numbers (b) How many of them begin with either 023 or 003? numbers (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-456 is permitted, but 123-345 is not.) numbers

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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A certain identification number is a sequence of six digits.
(a) How many identification numbers are possible?
numbers
(b) How many of them begin with either 023 or 003?
numbers
(c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-456 is permitted, but
123-345 is not.)
numbers
Transcribed Image Text:A certain identification number is a sequence of six digits. (a) How many identification numbers are possible? numbers (b) How many of them begin with either 023 or 003? numbers (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-456 is permitted, but 123-345 is not.) numbers
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