A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters {a, b, c, ..., x, y, z}), the set of 10 digits {0, 1, 3, 4, 5, 6, 7, 8, 9} and the set of 5 special characters {!, @, #, ∗, +}. a) How many unique passwords are there?

Q: How many distinct ten-digit passwords are possible if you must use at least one 26 lower case letter…

A: Given: you must use at least one 26 lower case letter from {a, b, . . . , z}, at least one 26 upper…

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: If A is the set of all whole numbers less than 20 that are divisible by, 4, and B is the set of all…

A: A∪B is the union of set A and set B. This set contains all the elements in set A or set B. The Venn…

Q: the character

A: There are total 4 characters A,B,C,D and D is used exactly twice. Therefore , the combination for D…

Q: Using only the digits { 1, 2, 3, 4, 5, 6} how many three digit numbers can be formed under the…

A: The first digit has 4 options which are, 1, 2, 3, 6. The second digit can have 5 options (one option…

Q: Find the number of permutations {1, 2, 3,...,8 } such that:   1) Exactly 4 digits in their usual…

A: Total elements= 8  Number of ways in which we can choose the four elements that will be in place is…

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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Q: How many different passwords exist that consist of 12 characte using uppercase and lowercase…

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Q: Determine the number of six-character passwords that can be formed using two letters from A to F and…

A: From A to F there are 6 letters. We can pick 2 letters from 6 letters in 6C2=15 waysIn 1 to 9 there…

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: Please answer all questions Question1: A password is a string of 8 characters taken from the…

A: GivenThe number of strings in a password =8 The number of alphabets =26The number of digits =10The…

Q: Suppose a password for a computer system must have at least 7 but no more than 11 characters where…

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Q: How many 9-character passwords with only the characters $, #, @, A5, A6,..., A21 are possible if…

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Q: How many strings of length 5 can be formed if the alphabet (set of available characters)is {a,b,c}…

A: The given alphabets are {a, b, c}. So, the number of characters is 3. The length of the string is 5.

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

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Q: How many 4-letter strings of upper- and/or lowercase letters are there that contain at least two…

A: To determine the number of 4-letter strings of upper and /or  lowercase letters are there that…

Q: A password a string that consists of 4 digits from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, followed…

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Q: Determine if the statement is an "inclusive or" or and "exclusive or" A password must have at least…

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Q: How many ways are there of arranging the 26 letters of the alphabet so that none of the words be,…

A:

Q: From the letters {A, B, C, D, E, F. G}, how :many 3-distinct-letters codes can be (a) generated? (b)…

A: a) 7C3 distinct codes can be generated by {A,B,C,D,E,F,G} which is equal to 21

Q: Suppose a password must have at least 8 characters, but no more than 12 characters, made up of…

A: Given that, Suppose a password must have at least 8 characters, but no more than 12 characters, made…

Q: 2) A school district assigns each of their students a password that consists of three unique letters…

A: Solution

Q: A multiset is a collection of objects, just like a set, but can contain an object more than once…

A:

Q: Suppose a password for a computer system must have at least 7, but no more than 11 characters where…

A: A password for a computer system must have at least 7, but no more than 11 characters where each…

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that,Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: A product code consists of a one or two-digit number (including 0) followed by 3 not necessarily…

A: A product code consists of a one or two-digit number (including 0) followed by 3 not necessarily…

Q: A certain website wants you to build a 6-character password from the letters a through i, the…

A: Given: The letters will be selected from a through i. Thus, there are a total of 9 letters from a…

Q: a) Consider the digits : 0, 2, 4, 5, 6 , 7. i) How many 4 digits numbers can be formed if repetition…

A:

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…