A certain identification number is a sequence of five 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, 123-45 is permitted, but 123-34 is not.) numbers

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 4ECP: A product’s catalog number is made up of one letter from the English alphabet followed by a...
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A certain identification number is a sequence of five 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, 123-45 is permitted, but 123-34 is not.)
 numbers
A certain identification number is a sequence of five 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, 123-45 is permitted, but 123-34 is not.)
numbers
Transcribed Image Text:A certain identification number is a sequence of five 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, 123-45 is permitted, but 123-34 is not.) numbers
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