(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?
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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Can someone help with this? For a, I got 52x62^7 and im not sure if that is right. Not sure for B
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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