1. How many bitstrings of length 10 are there: a. with no restrictions? b. start with 11 or end with 11? c. have exactly 3 0's? d. have at least 3 0's?

Q: How many unique codes are possibly formed from three parts, where the first part can be A to E, the…

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Q: 1. A school issues each student an ID with a unique code consisting of two lowercase Tolowed by…

A: The id will consist of a unique code with 5 characters to be filled. First, we will have two letters…

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: The possible number for passcode is as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 a) if the first digit…

Q: how many different 5-digit codes can be formed if the first digit must be an odd number, the second…

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Q: (i) How many bit strings of length 8 start with 0 and end with 0? (ii) How many bit strings of…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

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: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

Q: If October of a certain year has 5 Wednesdays, on what days of the week could Halloween fall?

A: We know that there are 31 days in the month of october and Halloween's day falls on 31st of the…

Q: each character in a password is either a digit(0-9) or lowercase letter (a-z). how many valid…

A: There is total 10 digits, such that 0, 1, 3, …., 9 and there is total 26 lowercase letters, such…

Q: If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

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Q: The number of permutations of n elements taken rat a time is denoted by nPr and is computed by or…

A: The number of permutations of n elements taken r at a time is given by nPr where nPr is given by,

Q: Prove or disprove the following.

A:

Q: How many different six-digit codes can be formed using digits 0 through 9? What counting technique…

A: Given set of digits A= {0,1,2,3,4,5,6,7,8,9} Total number of digits = 10 we have to find six- digit…

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

A: Image is attached with detailed explanation.

Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

A: Here,  total diplomats = 100 Number of continents= 5 Also, in continent 1, 2 ,3,4,5 there sholud be…

Q: A company has a security system that uses digits from 1 to 6. a) How many 3-digit security codes are…

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

A: We will solve this

Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: 12. Find the m DE. 3d 1240

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Q: Suppose that 11 children collected 50 books. Prove by contradiction that at least two of them had…

A: In mathematics, proof by contradiction is a method of proving something by assuming opposite of what…

Q: After round 6, how many squares are there (not counting the removed ones)? Number of small squares:

A: Given, A square of area 1 square foot is given. Use the Sierpinski square design where the original…

Q: 14a-14d

A:

Q: How many unique codes are possibly formed from two characters, where the first character can be 2 to…

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Q: A California study concluded that following 7 simple health rules can extend a man’s life by 11…

A:

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: Is there any valu of e for which the zenduges?

A: We have given series ∑n=1∞1nx Let ∑n=1∞1nx=1x∑n=1∞1n We know the series ∑n=1∞1n is divergent by the…

Q: For a population containing N=903​ individuals, what code number would be assigned for a. the…

A: Given N=903

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

A:

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: A. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are…

A: Answer is given below:

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit…

A:

Q: How many unique codes are possibly formed from two characters, where the first character can be 3 to…

A:

Q: How many 98-element subsets does [100] have? (Here [100] is the set consisting of the first 100…

A: Given: Let us consider n be the number of elements in the set and r be the elements-subsets. Then, n…

Q: Most ATMs require that you enter a four digit code, using the digits 0 to 9. How many four digit…

A: We will solve the following.

Q: (e) How many integers are there from 1,0 through 9,99 (b) How many odd integers are there from 1,000…

A:

Q: 7. How many four-digit codes can be made out of the digits 0, 2, 4, 6, and 8 if repetition of digits…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

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…

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

A:

Q: How many people are needed to guarantee that at least two were born on the same day of the week and…

A: There are 7 days in a week and 12 months in a year.

Q: (a) How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit…

A: The even numbers formed using those digits can have 1 digit or 2 digit or 3 digits. 1 digit even…

Q: 11 How many 6-letter words (even without meaning) can be created from the letters of the word…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 11. How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is…

A: there are 8  digits from 2-9.  Therefore, A can be chosen in 8 ways. For B there are 10 choices…

Q: (a) How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7, if each digit…

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

Q: Find elements o and t in S3 such that lo|=2, IT|=2 and lot|= 3. How many elements in S4 are there…

A:

Q: 3. (a) How many code words over a, b, c, d of length 20 contain exactly 10 a's? (b) How many contain…

A: (3) (a) We need to find the number of code words over a,b,c,d of length 20 contain exactly 10 a's.…

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

A: Total number of possible digit [0-9] = 10 Total number of possible lowercase letters [a-z] = 26 It…