Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters * , < , > ! and # (a) How many different passwords are available for this computer system? (b) How many of th

Q: How many bit strings of length 10 either begin with three 0s or end with two 0s?

A:

Q: How many bits string of length 4 are possible such that they contain 2 ones and 2 zeroes?

A: 2. Given Data: The length of string is: n=4 The number of ones is: 2 The number of zeros is: 2   The…

Q: Show that = n. mnZ

A: mZ = set of all integers which are divisible by m mnZ = set of all integers which are divisible by…

Q: Prove that Master Cheng has won precisely 21 times in a row during some consecutive days.

A: Please find the solution

Q: 2) Each type of machine part made in a factory is stamped with a code of the form…

A: We can use :- 26 letters, 10 digits, 10 digits (as digits can be repeated)   Total number of…

Q: How many distinct 5-letter strings can be created using the letters A, B, C, D, E if repetition is…

A:

Q: When all the numbers in a given data series appear only once, then the series is said to: a. be…

A: We know that, Mode:     The value occurs with the highest frequency. Uni mode: When there is only…

Q: Suppose an ATM PIN must consist of 6 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with…

A: Given, An ATM PIN must consist of 6 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with…

Q: Compute the sum of the first 60 positive integers that are exactly divisible by 4.

A: The numbers divisible by 4 is:

Q: A nine character password has been randomly assigned by using capital and lower case letters. In how…

A: Given : A nine character password has been randomly assigned by using capital and lower case letters

Q: How many strings of 1our decimal digits have all four digits that are different? How many strings of…

A:

Q: How many bit strings of length seven either begin with two 0s or end with three 1s?

A: Let A be the number of strings that begin with two 0's Therefore. first two places can be filled in…

Q: How many strings of Length tree can be formed by using the letter A,B,C,D and E without repetitions

A: Detailed explanation mentioned below

Q: A ternary bit string is a string of digits from {0, 1, 2}. How ternary bit strings are there of…

A: Solution of the problem as follows

Q: The grades of students in a Finite Mathematics course at a certain university are determined by…

A:

Q: How many computer passwords of length 3 you can make out of given 5 characters a. if repetition of…

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Q: How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a…

A: Here we will use the concept of combination and the formula for combination is given by C(n,r) =…

Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

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: Find all three-digit numbers with different digits with the property that those numbers are…

A: Let N=100a+10b+c represent all the three-digit numbers, for some digits, a, b and c. Then,…

Q: How many 10-bit strings are there if the string must have exactly one 1 in the first half and…

A: The string must contain exactly one 1 in the first half and exactly one 1 in the second half. So…

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

A:

Q: 4. Suppose that Mr. H paid $500 for his insurance in 2018. It is expected that every year the…

A: Since you have asked multiple question here, we will solve the first three questions for you. If you…

Q: How many binary strings of length 5 have at least 2 adjacent bits that are the same (“00” or “11”)…

A: Given: Number of ways to fill each place = 2 (0 or 1) Total number of possible binary strings= 25…

Q: 2. How many bit strings(strings of 1 or 0) of length 8 are there such that it contains no more nan 3…

A:

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

A:

Q: (9) Number of ways to scoop two unordered pairs from a set of 10 different elements. Assume no…

A: Let there are n distinct elements a1,a2,a3, . . . . . . . an And two set A and B, they should be…

Q: A company decided to distribute 5 identical computers among its employees. In how many different…

A: From the given information, The number of identical computers = 5 Number of employees who is going…

Q: Each customer in a certain bank has a PIN number, which is a sequence of four digits. Show that if…

A:

Q: Show that among any 4 n−1 people, there are either some n of them who mutually know each other, or…

A: Pigeonhole Principle  :  Simple form Theorem 1  :  If n + 1 objects are put into n boxes, then at…

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: Find the number of different ways to rearrange letters in the word PERMUTATION such that all the…

A: Here PERMUTATION word contains total 11 letter Of which A,E,I,O,U are vowels(5 vowels in given word)…

Q: How many bit strings of length 10 contain at least three 0's and at least four 1's?

A: According to the given information it is required to find the numbers of bit strings of length 10…

Q: find all three-digit number with different digits with the property that those numbers are divisible…

A:

Q: Suppose a password must be express by selecting digits for 5 places, the allowable digits being 0,…

A: Although, the example of a typical password is 332401, a 6 digit number, the first sentence of the…

Q: How many strings of length 6 decimal digits are there such that the first digit or the last digit is…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Suppose a company needs temporary passwords for the trial of a new payroll software. Each password…

A: The password must have, 1 digit and 3 alphabets. Number of digits available is 6 and the number of…

Q: How many 6-permutations of [15] have their digits in increasing order?

A: Permutation is a technique to obtain the possible arrangements of listed items in a linear order.…

Q: 5 can be formed if the alphabet (set of avail

A: To find: Number of strings of length 5 that can be formed with {a,b,c} with last character not as b.

Q: Describe the linear congruential method for Random number generation. Using the multiplicative…

A: a) It is been asked to describe in detail on linear congruential method for generation of random…

Q: A decimal string is a string over the alphabet of the 10 characters: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.…

A: Given that a decimal string is a string over the alphabet of the 10 characters 0,1,2,3,4,5,6,7,8,9.…

Q: A security code of four digits from digits 0 to 9 must be entered in a definite order. How many…

A: From the information given in the question we know that, Repetition of digits is allowed The…

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A:

Q: How many sequences of 6 positive digits (1-9) contain at most one even digits?

A: Given number of digits in each sequence=6. Number of digits which can be used=1-9 Number of even…

Q: 4. A password to a vault must have at least 8 characters where each character can be an English…

A: It is given that password can be  English letter or a digit. So available characters are:…

Q: How many strings of 5 upper case letters of the English alphabet start or end with A? Letters could…

A: detailed explanation is mentioned below

Q: A computer access password consists of from three to ten letters chosen from the 28 in the Arabic…

A: The part b of the can we solved by using the permutation.

Q: Find the number of ways 66 identical coins can be separated into three nonempty piles so that there…

A: GivenTotal number of identical coins =66Total number of piles =3 Each pile is on empty and the…

Q: Find the number of ways to select 12 objects with repetition from 5 distinct types of objects with…

A:

Q: How many bit strings of length greater than equal to one and less than or equal to six are there?

A: There are 2 possible bits : 0 and 1 Bit strings of length 6 are, 2.2.2.2.2.2=26=64 Bit strings of…