Suppose that a password for a computer system must haveat least 8, but no more than 12 characters, where eachcharacter in the password is a lowercase English letter,an uppercase English letter, a digit, or one of the six specialcharacters ∗, >, <, !, +, and =. a) How many different passwords are available for thiscomputer system? b) How many of these passwords contain at least one occurrenceof at least one of the six special characters?

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

A: To calculate the number of valid passwords that can be created using digits [0,9] or lowercase…

Q: How many binary strings of length 10 are there in which the number of O's in the string is not equal…

A: Solution :-

Q: If positive integers are chosen at random, what is the minimum number you must have in order to…

A:

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

A: We need to find the total number of valid passwords with given restrictions. The solution is given…

Q: Binary Codes Using the digits 0 and 1, how many differentnumbers consisting of 8 digits can be…

A: Given: 8 digit numbers are formed using binary codes 0 and 1. To Find: Total possible different…

Q: QUESTION 1 How many binary strings of length 24 have exactly 17 zeros?

A:

Q: 1. On Feb 25, 2021, there were 461,058 new cases of COVID reported in the world, 77803 in the US,…

A: We have to find percentage in thegiven problem.

Q: How many bit strings contain exactly eight Os and 10 Is if every 0 must be immediately followed by a…

A: Solution

Q: How many strings are there over the set {a, b, c} that have length 10 in which no two consecutive…

A:

Q: 1. How many different bit strings of length seven are there?

A:

Q: How

A: Here use combination

Q: QUESTION 7. Consider the set of all strings of length 8 that satisfy (i) It contains three digits…

A:

Q: How many 8-bits strings have exactly three 1's?

A: Given that  8 bits strings have exactly three 1 s is

Q: Let's suppose that a password must contain 4 characters, where a character can be any of the digits…

A: Total number of digits = 5 Total number of letters = 26 Total options are 5 numbers + 26 letters =…

Q: This problem involves 8-digit binary strings such as 10011011 or 00001010 (i.e., 8-digit numbers…

A:

Q: In how many different way can the letter of the word 'VAKSIN' can be arranged so that the consonant…

A: The number of ways n distinct objects can be arranged is equal to . The value of is calculated…

Q: 5. (10 points) 1) Show step by step how Euclid algorithm works to find gcd(698, 284) 2) Suppose the…

A:

Q: How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted…

A: number of ways in which A can be selected (2-9) = 8 ways  number of ways in which B can be selected…

Q: A sonnet is a 14-line poem in which certain rhymingpatterns are followed. The writer Raymond…

A: a). How many sonnets can be created from the 10 in the book? There are 10 possibilities for each 14…

Q: 8. How many bit strings(strings of 1 or 0) of length 12 are there such that it contains exactly 4…

A: We need to find the number of bit strings (strings of 1 or 0) of length 12 such that it contains…

Q: How many different passwords are there that contain only digits and lower-case letters and satisfy…

A:

Q: Assume that a password must be at least 8 characters long and include at least 1 digit and at least…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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

A: Given information: Total number of letters that can be used for password = 26 Total number of…

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A: When the repetition is allowed in formation the general formula for calculating the possibility is…

Q: 1. Consider passwords of length 10 made with A, B, C, D, E, 9, 8, 6 (Repetition is allowed) a) How…

A: (a). If repetition is allowed, then the number of ways in n places can be filled by r different…

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

A: There are 10 digits as 0,1,2,3,4,5,6,7,8,9 and 26 letters, which are “ a, b, c, d, e, f, g, h, i, j,…

Q: 5. How many bit strings of length 10 over the alphabet {a, b, c} have either exactly three as or…

A:

Q: (a) How many bit strings of length 9 either begin with 2 Os or end with 2 1s? (inclusive or) (b)…

A:

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: How many bit strings of length 10 have... a) Exactly four 0s? b) At least five 1s? c) Either two…

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any…

Q: How many bitstrings are there of length 2n that contain exactly n “O"s and n “1"s? Prove your result

A: Given that,   The length of bitstring =2n, i.e If we have a bitstring, it should only contain 0's…

Q: Give a recursive definition for the set of all binary palindromes, that only '0's and 'l's that are…

A:

Q: Suppose there are 30 characters on a line which included A, B and C. If there are 9A, 14B, and 7C.…

A: We have to find no. Of permutations.

Q: 8. How many bit strings(strings of 1 or 0) of length 10 are there, such that the string should…

A:

Q: How many strings of eight English letters are there: a) that contain no vowels, if letters can be…

A:

Q: For some particular website, the password must start with one of the letters W, X, Y, or Z. Then…

A: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0 through 9, total…

Q: A password must have 2 letters from the school acronym SSPU and 3 digits from 1 to 9. How many…

A:

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A: There are 6 positions in the license plate that need to be filled. Out of these 6, first 4 positions…

Q: Question 3. Prove using the short north-east diagonals or any other mathematical method of your…

A: Given that A is an enumerable set The fact that the Cartesian product of ℕ and any finite set is…

Q: A string that contains only Os, 1s, and 2s is called a ternary string. How many ternary strings of…

A: Multiplication Principle:Suppose that we perform r experiments such that the kth experiment has nk…

Q: Question 1. Show that if seven integers are selected from the first 10 positive integers, there must…

A:

Q: 6.2.2 Show that if there are 30 students in the class, and at least 2 have a last name that begin…

A: Consider the provided statement that there are 30 students in a class then at least two have last…

Q: QUESTION 10 How many bit strings of length 6 start with 10 or end with 01?

A: By fundamental theorem of multiplication counting is

Q: Each user on a computer system has a password, which is seven to nine aracters long, where each…

A: Given: Number of characters in a password = 7, 8, 9 n(letters) = 26 n(digits) = 10 n(total) = 36…

Q: 1. This problem involves 8-digit binary strings such as 10011011 or 00001010. How many such strings…

A: Answer for sub question 1: The given task can be broken down into 8 sub tasks where the ith task Ti…

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A:

Q: Suppose each license plate in a certain state has one digit, followed by four letters, followed by…

A: Given, Each license plate in a certain state has one digit followed by four letters followed by one…

Q: 1. How many bit strings(strings of 1 or 0) of length 10 are there such that it contains exactly 5…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. To login to a particular phone app, users must create a 6-character password using only the…

A: We have 10 digits available