3 At a certain company, passwords must be from 3-5 symbols long and composed from the 26 uppercase letters of the Roman alphabet, the tendigits 0-9, and the 14 symbols !, @, #, $, %, ^, &, *, (, ), -, +, {, and }. Use the methods illustrated in Example 9.3.2 and Example 9.3.3 toanswer the following questions.(a) How many passwords are possible if repetition of symbols is allowed?If repetition is allowed, there arechoices for each entry in the password. So, by the ---Select--v , the number ofpasswords of length n isBecause passwords may have length 3, 4, or 5, by the --Select---the total number ofpasswords consisting of 3, 4, or 5 symbols is(b) How many passwords contain no repeated symbols? (Hint: In this case, if symbols are entered into a password one by one, the number ofchoices for each entry decreases by 1 as each additional symbol is entered.)The total number of passwords consisting of 3, 4, or 5 symbols, each of which has no repeated symbol, is(c) How many passwords have at least one repeated symbol?The number of passwords with at least one repeated symbol plus the number of passwords with no repeated symbols isThus, the number of passwords with at least one repeated symbol is(d) What is the probability that a password chosen at random has at least one repeated symbol? (Round your answer to the nearest tenth of apercent.)%

Given that at a certain company, passwords must be form 3-5 symbols longand composed from the 26…

Answered: At a certain company, passwords must be…

At a certain company, passwords must be from 3-5 syml

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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