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(a) On a certain computer system, a valid password is a sequence of 6 to 8 symbols. The first symbol must be a letter (upper or lower case) of the English alphabet and the remaining symbols must be either letters (upper or lower case) of the English alphabet or digits. How many different passwords are possible? (b) In how many permutations of the set {0, 1, 2, ...,9} do either 4 and 2 or 0 and 4 appear consecutively?

(a) On a certain computer system, a valid password is a sequence of 6 to 8 symbols. The first symbol must be a letter (upper or lower case) of the English alphabet and the remaining symbols must be either letters (upper or lower case) of the English alphabet or digits. How many different passwords are possible? (b) In how many permutations of the set {0, 1, 2, ...,9} do either 4 and 2 or 0 and 4 appear consecutively?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Can someone help with this? For a, I got 52x62^7 and im not sure if that is right. Not sure for B

(a) On a certain computer system, a valid password is a sequence of 6 to 8 symbols. The first symbol must be a letter (upper or lower case) of the English alphabet and the remaining symbols must be either letters (upper or lower case) of the English alphabet or digits. How many different passwords are possible? (b) In how many permutations of the set {0,1, 2,...,9} do either 4 and 2 or 0 and 4 appear consecutively?
Transcribed Image Text:(a) On a certain computer system, a valid password is a sequence of 6 to 8 symbols. The first symbol must be a letter (upper or lower case) of the English alphabet and the remaining symbols must be either letters (upper or lower case) of the English alphabet or digits. How many different passwords are possible? (b) In how many permutations of the set {0,1, 2,...,9} do either 4 and 2 or 0 and 4 appear consecutively?
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