What is the number of Hamilton circuits in K15?

Q: 4. Determine the number of Hamilton circuits in a complete graph with ten vertices?

A: BARTLEBY GUIDELINES STRICTLY SAYS THAT WE ARE SUPPOSED TO ANSWER ONLY FIRST QUESTION.   4. Given…

Q: Consider 2 classes, the first with 5 students, and the second with 7 students. From this group of…

A: Given data 2 classes First with 5 students and second with 7 students 2 students need to be selected

Q: A circuit board has 10 free slots for chips, and four different chips will be installed in it. State…

A:

Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

A: According to the permutation rule, if r distinct items are to be chosen from n items without…

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: From the provided information, The letters are {A, B, J, K, X, Z} Total letters = 6

Q: Let us say that we are going to create eight letter passwords from a set of 23 letters (all of the…

A: There are 23 alphabets, 10 numerics and 5 symbols.

Q: How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the…

A: Solution:

Q: d. Is there a circuit of length greater than 9 starting at Merchandise Mart? e. Is there an edge…

A:

Q: 4. Use K-maps to find simpler circuits with the same output as of the circuits shown. Tyz Kydx +) +G…

A: Given circuit diagram is,......

Q: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

Q: Assume the sales representative calls 5 customers, and each call has 2 possible results: reaches the…

A:

Q: SHOW THE FULL SOLUTION OF THIS PERMUTATION 3!

A: Given3!

Q: How many 3-letter passwords can be made using the letters A through Z if... a) Repetition of…

A: We have to find the number of 3-letter passwords that can be made using the letters A through Z if…

Q: Assume that you are assigning one of 12 available lockers to each of the 8 players on the team. In…

A:

Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

A: A phone number consists of 7 -digit that does not start with 0. To find the possible phone numbers…

Q: When I arrange the members of a marching band in rows of 2, 3, or 4, there is always 1 person left…

A: To solve the given problem

Q: The gate code at your apartment complex is three numerical digits followed by the “#” sign. If each…

A:

Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find the number of different signals that can be made by arranging at least three flags out of 6

Q: What is the minimum number of cards that must be drawn from an ordinary deck of cards (52) to…

A: Given problem Given that   The minimum number of cards that must be drawn from a ordinary deck of…

Q: 3,

A:

Q: 8. Determine for which n > 3, W, has a Hamilton circuit. Justify your answer. 72

A:

Q: suppose we color the squares of a 4×4 grid blue or red.Using inclusion-exclusion, how many ways can…

A:

Q: A department store wants to send codes for  $15  off a  $75  purchase to the subscribers of its…

A: The coupon code have three letters followed by one digit and followed by one  letter. i.e. we have…

Q: You have a set of N dice, where each die d has m faces numbered 1, ..., m. How many ways are there…

A: Given a set of N dice, where each die d has m faces numbered 1,...,m.

Q: In a large math conference with 2022 participants, each person shakes hands with some number of…

A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.

Q: Give two properties of a circuit that make it an Euler circuit.

A:

Q: In a survey of 120 people it was found that 65 read news week magazine,45 read time,42 read…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Create a proof for the fc

A: Given,           1.        ~R⊃~Q2.        ~R

Q: For the RSA algorithm with a large n, explain why Bob can calculated from n, but Eve cannot.

A: Hint: We need to discuss that what technique Bob is using.

Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…

A:

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: How lany passwords can be created with two letters followed by two digits, if no letter or a digit…

A:

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

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: A magician would like to perform a magic trick using 30 distinct cards, each labelled with a number…

A:

Q: The company has agreed on an 8 character password format, comprised of upper case letters , lower…

A:

Q: For the seven bridges in the Konigsberg Bridge Problem, can one bridge be removed, an additional…

A: Consider the provided question, Consider the seven bridges in the Konigsberg Bridge problem a graph…

Q: Is it possible to plant 10 trees in 10 straight rows with 3 trees in each row? Hint: Desargues says…

A:

Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the…

A:

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: How many strings of eight uppercase English letters are there that start and end with X, if letters…

A: In English Alphabet we have 26 letters. We have to make a string of 8 uppercase English Letters.…

Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A: We will use basic combinatorics.

Q: This lock has a 3-digit code. Can you crack it using only these hints?

A: Given,

Q: A full-adder can be realized only by using 2-input XOR gates. Select one: O True False

A: The given statement is true. From The circuit of a full adder given in the next step it is easy to…

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: How many Hamiltonian circuits, not counting reversals, are there in a complete graph with 6…

A: We have to find the number of Hamiltonian circuits, not counting reversals, are there in a complete…