How many 13-bit strings contain exactly six 1's?   (b) How many 13-bit strings contain at least ten 1's?   (c) How many 13-bit strings contain at least one 1?   (d) How many 13-bit strings contain at most one 1?

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

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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: How many 8-bit strings of weight 5 start with 101 or end with 10 or both?

A: If the 8-bits strings has a weight of 5, then From the 8 places to have digits, there are 5 places…

Q: How many bit strings of length eight either start with the bits 11 or end with the bits 00?

A: Consider the provided question, We need to find the number of bit strings of length eight either…

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

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Q: How many five-digit numbers are there for which each digit is either equal to both adjacent ones, or…

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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: A password for a computer system must have at least 8, but no more than 12, characters, where…

A: The password has lower case English letters , uppercase English letters a digit or one out of 6…

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: A virus spreads through a network of computers such that each minute,25% more computers are…

A: This can be found by exponential growth : y=a(1+r)x a= initial value = 1 computer r=25%=0.25 x=1…

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 8-bits strings have exactly three 1's?

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

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: Suppose, car name plates have the following format. XXXYYY where the X places should have a letter…

A: Use the given conditions to get a proper answer. Start the question with the possible numbers for…

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: How many bit strings of length n, where n is a positive integer, start and end with 1s

A: First place 1 at the start and end of the n bit string. Then there are n-2 bit strings.

Q: A 4-sided die with numbers 1, 2, 3, 4 on the faces, is rolled n times in row, and the numbers that…

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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 bit strings of length eight are there?

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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: How many bit strings of length n, where n is a positive integer, start and end with 1s?

A: Given: String length is n,where n is positive integer. Any place to fill in the string there are…

Q: How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n > 2…

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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: A computer password is required to be 6 characters long. How many passwords are possible if the…

A: From the given information, a computer password is required to be 6 characters long. If the password…

Q: 7. How many 10 bit strings have an equal number of 0's and 1's? How many have 8 (and only 8)…

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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: How many bit strings of length 10 starts or ends with 0?

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Q: How many strings of 7 decimal digits are there, such that at least one of the digit is odd?

A: There are total 10 decimal digits, among which 5 are odd. Since repetition of digits is allowed,…

Q: In one case a byte is defined as a sequence of 8 bits. Each bit can be either zero or one. How many…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

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: How many bit strings of length 14 either begin with four 1's or end with two 0’s?

A: To find number of bit strings of length 14 either begin with four 1's or end with two 0’s

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

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Q: A passcode contains four digits from the digits 0-9. How many different passcodes can be made if no…

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Q: How many ways of strings of length 10 can we build from an alphabet of 30 characters?

A: We need to find, in how many ways, a strings of length 10 can be build from an 30 alphabet…

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…

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: How many 16-bit strings contain at least thirteen 1's?

A: Use the following formula, to obtain the solution. nr=n!r!n-r!n!=nn-1n-2⋯321n!=nn-1!0!=1

Q: How many sequences of 6 positive digits (1-9) contain at least one digit that appears twice?

A: We have to determine the total sequences of 6 positive digits (1-9) that contain at least one digit…

Q: Don't copy from google or other sites  How many bit strings of length 11 contain either five…

A: Given, the strings of length 11 contain either five consecutive 0s or five consecutive 1s.

Q: How many bit strings of length 10 contain either five con- secutive Os or five consecutive 1s? How…

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

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Q: how many bit strings (sequences of 0's and 1's) of length 12 and contain an equal number of 0's and…

A: To find the number of bit strings (sequences of 0's and 1's ) of length 12 and contains an equal…

Q: A bank password consists of SIX (6) letters of the Roman characters (small and capital letters)…

A: We need to determine the number of different passwords possible using the letters of Roman…

Q: How many 10-bit strings contain 5 or more 1's?

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

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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: 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…