For the seven bridges in the Konigsberg Bridge Problem, can one bridge be removed, an additional bridge be added,                                          so that an Euler circuit is now possible?

Q: A fleet of nine taxis is to be dispatched to three airports in such a way that two go to airport A,…

A: Given, A fleet of 9 taxis is to dispatch to the three airports A, B, and C also, 2 go to A, 6 go to…

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

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Q: How many 3-letter codewords can be formed if: At least one of the letters is to be chosen from the…

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Q: One semester in a chemistry class, 14 students failed due to a poor attendance, 24 failed due to not…

A: This Question can be easily solved using Venn Diagram

Q: There are five distinct computer science books, three distinct mathe- matics books, and two distinct…

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Q: A group of 10 friends went on a tour in Netherland. For their Amsterdam tour, each of them had to…

A: There are 10 friends and 4 places to visit. Also, each place has to be visited by at least one of…

Q: 2. Five boys and four girls are waiting for the MRT to arrive at Guadalupe Station. In how many ways…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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

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Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are mathematics books,…

A: Given: Number of types of books=4 Number of mathematics books=4 Number of chemistry books=3 Number…

Q: Three men have been sentenced to long terms in prison, but due to over crowed conditions, one man…

A: For convenience sake, let the three men be P, Q, R, and let R be the man who deduced that his dot…

Q: ) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Q(3): The license plates are formed by choosing 2 letters (from total 26 alphabets) followed by 4…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The license plate of the car in the accident contains three…

Q: In one state, each automobile license plate shows three letters followed by two digits, or two…

A: The number of letters in alphabet is 26. The number of digits from 0 to 9 is 10.

Q: A computer password must be 3 letters followed by 5 digits (0 through 9). How many different…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For the new fall season, a network president has 11 shows in development, and 8 openings in the…

A: The network president has 11 shows in development . There are eight openings in the prime time…

Q: A 6-digit phone number cannot start with 0 or 1. Assume that there are no restrictions on the…

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Q: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

A: Manila to Pampanga : 2 ways Pampanga to Bataan : 3 ways From Batana to La Union : 5 ways     in how…

Q: you had a box of five different kinds of fruit and you could choose 2, you might get an apple and an…

A: Given that  Number of types of fruits (n) = 5 Number of fruits we could choose = 2   We know that…

Q: box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch…

A: Given, Square base No top Volume= 48 cubic inches

Q: On a 10 question multiple-choice English 12 quiz, 3 answers are A, 2 answers are B, 2 answers are C,…

A: The multinomial coefficient is the method to calculate the number of ways in which n objects can be…

Q: In a certain state, all car license plates have four capital letters followed by three digits.…

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Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A: Given that Suppose in a university, each subject offered to students has a subject code consisting…

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

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Q: In an examination paper, there are 7 questions in part A out of which any 4 are Example 48. to be…

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Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: If we take a golden rectangle which has base equal to φ and height equal to 1, and we subdivide that…

A: Given: Height and base of rectangle are 1 unit and φ unit.   To find: Dimension of smaller rectangle…

Q: 10. A salesperson living in city A wishes to visit five cities B, C, D, E, and F. a. If the cities…

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Q: Suppose that in a particular class of 135 students, 45 of them are majoring in math, 60 of them are…

A: Let, A be the students who are major in math, B be the students who are major in communications.…

Q: Suppose there are 6 roads connecting town A to town B and 4 roads connecting town B to town C. In…

A: Multiplication rule of counting: If there are ‘a’ number ways to make the first choice, b ways to…

Q: Suppose a n × n chessboard is missing two opposite corners. Prove that no matter what n is, you will…

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Q: here are  14  European cities that Keiko would eventually like to visit. On her next vacation,…

A: Given data There are 14 European cities that Keiko would eventually like to visit. on her next…

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A: There are totally 10 digits, the first digit has 9(Because first digit is nonzero) choices. Since…

Q: In how many ways can an elf climb a staircase of 15 stairs if each step it takes can cover 1 or 2 or…

A: We will use the recurrence relation to find the number of ways in which an elf can climb 15 stairs.

Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

Q: 2. Sometimes light fixtures are controlled by more than one switch. Circuits need to be designed so…

A: Given that the circuit for a light fixture controlled by more than one switch (take 3 switches),…

Q: 10. A committee of gize 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

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Q: The board of directors of a cooperation must select a president, a secretary, and a treasurer. In…

A: Total members on the board of directors = 15 members

Q: If Stewart Powers is elected president, then every school will have internet access. Every school…

A: Reasoning: If Stewart Powers is elected president , then every school will have internet access.

Q: How many different possibilities are there for the membership of the working group?

A: Here given A hospital working group of 8, consisting of 3 doctors, 2 nurses and 3 lawyers is to be…

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: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: A social security number has 3 digits, then 2 digits, then 4 digits.  If the first 3 digits can’t be…

A: To determine: Different possible cards can be made. Given data: A social security number has 3…

Q: At a computer store, Imelda is considering 5 different computers, 4 different monitors, 7 different…

A: Given that there are, 5 different computers, 4 different monitors, 7 different printers and 2…

Q: 4 Suppose that a goup of 150 students have joined at least one of the chat rooms: one on auto…

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Q: If dining time is 60 minutes, the lounge seats 48, and there are 180 dining-room seats, then the…

A: The second option is the correct choice. Use the queuing model to find the turning time for every…

Q: A large corporation is concerned with security and identity theft.  So, instead of using workers’…

A: Topic = Permutation and combination

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven digit…

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Q: ) Suppose in a university, each subject offered to students has a subject code consisting of four…

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

Q: A certain student organization has 17 members - 7 math majors and 10 english majors. A committee of…

A: Total number of students = 17;  7 math majors and 10 English majors.