Among a group of 5 people, is it possible for everyone to be friends with exactly 2 of the people in the group? What about 3 of the people in the group?

Q: hich of the following is not one of the four requirements for a mathematical system to be called a…

A: To be group following properties must be satisfied. 1. closure property  2.associative property 3.…

Q: Use the Pigeonhole Principle for the following problems: da) Lemurs are being assigned to 8…

A: Pigeonhole principle states that if m pigeonholes are occupied by m + 1 pigeons, then at least one…

Q: Radio stations taht are on the west side of a nation have call letters cosisting of a K followed by…

A: There are 26 letters (A-Z) We can K in 1 way only. We can pick the first letter in 26 ways.  Then we…

Q: Please help me answer all of these questions with a solution. 2. Lavin is choosing which template to…

A: Note: " Since you have posted many questions. we will solve the first question for you. To get the…

Q: a school of 450 students,120 students are in DECA, 270 students are on sports teams, and 75 students…

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Q: You have 10 green socks and 10 yellow socks that are all mixed up in a dresser drawer. The 20 socks…

A: Given that there are two types of socks, green and yellow. The number of green socks is 10. The…

Q: In a group of study at students 46 subjects students at school, all students must least one science…

A: total number of students=45number of students with physics only=12number of students with atleast…

Q: In a school of 450 students,120 students are in DECA, 270 students are on sports teams, and 75…

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Q: Example 2.2: A department has 30 professors. Four need to be selected for a committee. The committee…

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Q: Consider a group of 7 people divided among 5 rooms. 1. Are we guaranteed at least room with more…

A: statement of pigeon hole principle:- let m be the pigeons and n pigeon halls, m>nthere is at…

Q: A translation service has 40 employees, of whom 27 speak French,11 speak Spanish, and 7 speak Hindi.…

A: Let, the employees who speak French be represented by F the employees who speak Spanish be…

Q: PEANUTS CLASSICS 'A UBRARY SHELF CONTAINS SEVEN BOOKS. THREE BOOKS ARE MATH BOOKS AND FOUR BOOKS ARE…

A: The number of ways n distinct objects can be arranged is equal to n!. The value of n! is calculated…

Q: Students are building their schedules at a small university. There are 12 departments offering…

A: There are 12 departments offering classes. A students have to build a schedule of 5 courses each…

Q: A teacher wants to buy supplies for two of their students, Susie and John. This teacher wants to…

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Q: Suppose that I want to purchase a tablet computer . I can choose either a large or small screen ; a…

A: We have to find correct answer..

Q: The town of Finitesburg produces permutations and combinations. To produce one permutation, it takes…

A: Given that the town of Finites burg produces permutation and combination. Also given that to produce…

Q: Homework 5: Suppose there are 15 girls and 18 boys in a class. In how many ways can 2 girls and 2…

A: From the provided information, There are 15 girls and 18 boys in a class.

Q: e have a council consisting of 4 men and 6 women In how many ways can we lesect a committee of 5…

A: Concept:

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: It is given that there are 5 couples who wants to take their pictures taken. The objective is to…

Q: Zip Codes. The author spoke with a representative of the U.S. Postal Service and obtained the…

A: a) For the five digit zip code, the first four digits can be any of the digits 0 to 9 and the last…

Q: A music school wants to expand its class schedule. To better understand the current schedule, the…

A: Introduction: The instruments that are listed within the circle titled "Taught on Wednesday" are the…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: Use the following information to answer the next question A group of 12 students want to take a trip…

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Q: w many different ways ur people - Ana, Becky, ia, and Ema- sit in a row eats at a movie theatre a…

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Q: n how many ways can we arrange 3 boys and 3 girls in a circular table if: A. 2 boys hate each…

A: Q A.   Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for…

Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: Question 2 a. A company plans to interview ten recent graduates for possible employment. The company…

A: a).Given, the company has three positions open and that a company plans to interview 10 recent…

Q: 3. Suppose there are 6 black pens, 7 blue pens, and 5 red pens. Find the number of ways you can…

A: Given,no.of black pens=6no.of blue pens=7no.of red pens=5Total no.of pens=18

Q: Please help me answer all of these questions with a solution. 4. A coffee shop offers 4 types of hot…

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Q: Below is a magic square of size 3x3 and related variables. When you place integers from 1 to 9 in…

A: Given, the magic square and integers 1 to 9 To fill the given magic square by using the integers 1…

Q: Q-2: a) Four married couples have bought 8 seats in the same row for a concert. In how many…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four…

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Q: a.) To determine which of these mountain peaks would be visible from Oahu, consider that you are…

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Q: Height (feet) Distance Island (miles) Mountain Lanai 65 Lanaihale 3,370 Maui 110 Haleakala 10,023…

A: (a) For island Maui the height of the mountain Haleakala is 10,023 feet. Convert the height of the…

Q: Q5: In a group of 10 students 6 students are girls A committee of 5 students has to be created with…

A: This question is related to combination.

Q: Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a…

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Q: Ellen has an assortment of mismatched dishes, so the dinner table looks different from one night to…

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Q: Professor Bartlett teaches a class of 10 students. She has a visually challenged student, Louise,…

A: Given: Professor Bartlett teaches a class of 10 students. She has a visually challanged…

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A: Given :  A Car seats 5 people, including the driver. You have 8 friends who all need you to drive…

Q: Represent the problem with Venn diagram and answer the question based on the diagram. Twenty-four…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: 4. Your school offers two English classes, three math classes and three BCD classes. You want to…

A: According to Bartleby guildlines we have to solve first question and rest can be reposted.... Given…

Q: H) A class contains 10 students, 6 boys and 4 girls. We need to pick 3 students to represent the…

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Q: An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how…

A: Let N be the number of eggs. Given that, When the eggs are taken out in groups of 2, 3, 4, 5, 6…

Q: Which of the following is false? Group of answer choices: Choose an answer and explain. If two sets…

A: Which of the following is false?

Q: You have 15 white balls arranged in a triangular arrangement. 7 balls are painted blue and 8 green.…

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Q: gners After meeting with clients to determine the scope of a project, graphic artists typically…

A: Given : Number of possible color scheme = 6 Number of possible images = 8 Number of possible aces =…

Q: We have a council consisting of 4 men and 6 women In how many ways can we select a committee of 5…

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Q: 2. In a wedding, a photographer is taking a group picture of 6 people in a row. In how many ways can…

A: Here use concept of total arrangement  There are total 6 people

Q: How many different ways can a photographer at a wedding arrange six people in a row from a group of…

A: Note: In part c, the number of bridesmaids and groomsmen is not given, so we cannot answer it.…