Show solutions to the following questions:   In how many ways can you flip two coins and roll a die? The chairs of an auditorium are to be labeled with a letter and a positive integer not exceeding 200. What is the largest number of chairs that can be labeled differently? How many different bit strings of length eight are there?

Q: How many different bit strings of length 12... a. .contain at most eight 0's? b. ..contain exactly…

A:

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

A:

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: A password contains eight digits, such as 17466780. How many different passwords can be formed?

A: no.of digits(0 to 9)=10

Q: 11. How many bit strings of length 13 start with 01 and end with 1? a) 210 b) 132 c) 213 d) 211 e)…

A: We have to find bit strings of length 13 starts with 01 and end with 1.

Q: A lock code requires 3 digits followed by 2 letter(s). How many different lock codes are possible?…

A:

Q: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9. How many…

A:

Q: How many 13-bit strings contain exactly six 1's?   (b) How many 13-bit strings contain at least…

A: a) If exactly 6 are 1's then (13-6)=7 will be 0's. When positions of 1's are fixed, then the…

Q: ) In how many ways can 8 binary digits be picked if each must be picked an even number of times?

A:

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

A:

Q: How many 12-bit strings contain exactly five 1's?   (b) How many 12-bit strings contain at least…

A: a) We can pick 5 positions for 1's from 12 positions in 12C5= 792 ways  Answer(a): 792

Q: A student is allowed to select at most n books from a collection of (2n+1) books. If the total…

A: We will solve the problem

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

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

Q: 14a-14d

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: What is the largest number in the row starting "1 4 ..." of Pascal's triangle?   What is the sum…

A: To find what is the largest number in the row starting "1 4 ..." of Pascal's triangle? To find what…

Q: How many different 16- bit strings contain exactly 4 1s?

A: According to the given information the total number of bits in a string is 16.It is needed to…

Q: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

A:

Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

A:

Q: Use the method of Example 9.5.10 to answer the following questions. (a) How many 15-bit strings…

A:

Q: How many 15-bit strings contain exactly seven 1's?

A: Out of 15 strings one must pick 7 of them to contain 1’s and other 8 will contain 0’s.

Q: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

Q: A seven-character computer password can be any three letters of the alphabet, followed by two…

A: Given, A seven-character computer password can be any three letters of the alphabet, followed by two…

Q: Solve the following set of combinations and permutations.   How many two digit numbers can be…

A: 1)From the provided information the four digits are 1,2,3,4, so the first digit can be any of these…

Q: d) How many 7 bit strings have exactly three l's?

A:

Q: How many different strings of size 2 can be made using all the letters in the word GOOGOL?

A: Given word = GOOGOL. Number of different letters present in the given word = G,O,L  According to the…

Q: Do all four problems. 1. Prove that there exists a unique prime number of the form n2 – 4, where n…

A:

Q: prove that the one's digit of any integer,n, is the remainder when one divides n by 10.

A:

Q: Solve the following using counting techniques. (a) The landline telephone numbers in the phone…

A:

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: Use the method of Example 9.5.10 to answer the following questions. (a) How many 15-bit strings…

A:

Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not…

A:

Q: Suppose that a password for a locked door must have at least 8 characters, where each character in…

A: It is given that password can be a lowercase English letter, an uppercase English letter or a digit.…

Q: How many integers between 100 and 999 have distinct digits, and how many of those are even numbers?

A:

Q: How many binary strings of length 10 are there in which the number of 0's in the string is not equal…

A: We have to find the numbers of binary strings of length 10 are there in which the number of 0's in…

Q: Is there a formula or way to determine how many transpositions there are for a cycle of a given…

A: All cycles can be decomposed into a composition of two transpositions. In permutation, the number of…

Q: Let p and q be prime numbers. (1) If p is not equal to q, how many generators does Zpq have? (2) If…

A: Given p and q be primes.

Q: How large a subset of the integers from 1 to 50 must be chosen to guarantee that one of the numbers…

A: We have to determine How large a subset of integers from 1 to 50 must be chosen to guarantee that…

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: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

A: We want to find the number ways to make 3 digit number.

Q: (a) How many bit strings of length 8 are there? (b) How many bit strings of length 8 or less are…

A:

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. How many bitstrings of length 10 are there: a. with no restrictions? b. start with 11 or end with…

A: (i) The number of bitstrings of length 10 that can be obtained when no restriction is laid.Since…

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