Show that in a group of five people (where any two people are either friends or enemies), there are not necessarily three mutual friends or three mutual enemies.

Q: A survey of 500 farmers showed that of the​ farmers, 125 grew only​ wheat, 108 grew only​ corn,…

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Q: At a certain university, 60% of the students are enrolled in a math course, 50% are enrolled in an…

A: Solution: Let A be the event that students are enrolled in math course, B be the event that students…

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: Assume that she has 4 possible destinations: Utah, New England, Oregon, and Colorado. There are 4…

A: The objective of the problem is identified below: From the given information, there are 4 possible…

Q: Prove that at a party where there are at least two people, there are two people who know the same…

A: There are two cases to consider:   Assume there is a someone at the party, who knows everyone else…

Q: A survey of 500 farmers showed that of the​ farmers, 121 grew only​ wheat, 110 grew only​ corn,…

A: Let the Venn diagram below represents the given situation- Given, g=110 ... (1) b=121... (2)…

Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

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

Q: A survey of 500 farmers showed that of the​ farmers, 123 grew only​ wheat, 114 grew only​ corn,…

A: Given: Total number of farmers, N = 500             Number of farmers who grew only wheat, n(W) =…

Q: Find all the mindir and colartors of matrin A. -2 3. A- 6. -1 -3 1.

A: The minor of all the elements of a matrix can be obtained by deleting the corresponding row and…

Q: Show that if there are 30 students in a class, then at least two have last names that begin with the…

A: We are given that there are 30 students in the class. We will assume that every student has first…

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: Show that on a street with 101 houses where each house has a distinct street number between 1 and…

A: For the solution of the problem follow the next step.

Q: Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant,…

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Q: Out of 8800 kids visited a restaurant, 2400 like pizza, 3360 like burgers, and 2240 like sandwich,…

A:

Q: Suppose a man's occupation can be classified as professional, skilled worker, or unskilled worker.…

A: Using the given information we set the three states as P, Sl, Ul Then the transition matrix is

Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: A survey of 500 farmers showed that of the​ farmers, 127 grew only​ wheat, 112 grew only​ corn,…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, four yellow ones,…

A: We have 6 Red marbles2 Green marbles1 transparent marble4 yellow marbles2 orange marblesTotal no of…

Q: A survey of 500 farmers showed that of the​ farmers, 122 grew only​ wheat, 113 grew only​ corn,…

A:

Q: In an organization, X has been assigned to collect all the accounting departments files from the…

A: For the given information, we construct a data table, Governmental files percentage Probability…

Q: Suppose a class consists of 5 students majoring in Economic, 5 students majoring in Mathematics and…

A: Given,  5 students majoring in Economic 5 students majoring in Mathematics 3 students majoring in…

Q: Suppose that a department contains 10 men and 18 women. How many ways are there to form a committee…

A: The order of the men/women is not important ( since all selected members will get the same…

Q: At a blood drive, 5 donors with type O + blood, 5 donors with type A + blood, and 2 donors with type…

A: Solution-: Given: Number of donors with type O+ =5           Number of donors with type A+ =5…

Q: Assume that there are 10 girls and 8 boys in the neighborhood club, and a team of 8 is to be…

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Q: At a blood drive, 4 donors with type 0+ blood, 3 donors with type A+ blood, and 3 donors with type…

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Q: Assume that in a university with 1000 students, 200 students are taking a course in mathematics, 300…

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Q: A survey of 500 farmers showed that of the farmers, 125 grew only wheat, 111 grew only corn, 93 grew…

A: Answer

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type B…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant,…

A: Given Information: Consider the given points to make the transition probability matrix. This study…

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: Of the 500 students in one dorm, 300 have engaged in binge drinking, 150 have engaged in social…

A: Independent Events: The events A and B are said to be independent, if the result of one of the…

Q: Suppose a group of twelve (12) people consists of five (5) men and seven (7) women. How many…

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Q: | Suppose 10 ducks and 6 geese line up in a single row. In how many ways can they line up so that no…

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Q: Suppose in a small town named Oshiland there are three places to eat, a Chinese restaurant, a…

A: Chinese Mexican Home Pizza  Chinese 30% 20% 20% 30% Mexican 25% 40% 25% 10% Home 20% 25% 25%…

Q: A group of 250 people, if it is known that their average weekly wage is 324.48 dinars. Of them, 7…

A: Solution: Given There are a total of 250 people and the average weekly wage of these 250 people is…

Q: A survey of 500 farmers showed that of the​ farmers, 124 grew only​ wheat, 112 grew only​ corn,…

A: Given, 500 - farmers showed that of the​ farmers, 124 - grew only​ wheat, 112 - grew only​ corn, 89…

Q: Show that in a group of people there must be two individuals that have the same number of friends…

A: We make a proof by contradiction and use the pigeonhole principle.

Q: Suppose that you must choose three people to meet with a customer. You have nine people to choose…

A: Given data, Total number of people (n)=9 Number of people to meet with a customer (r)=3

Q: At a blood drive, 5 donors with type O positive blood, 4 donors with type A positive blood, and 3…

A: Suppose there are n items to be arranged in a row. Further consider that each of these n items is of…

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: Prove that among any group of people, there are always two people with the same number of friends…

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Q: An analysis of first-year students at a college revealed that 1/5 of the first-year women were from…

A: Problems involving fractions of a unknown quantity can be solved by denoting the quantity as some…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, seven yellow ones,…

A: Use combination theorem:

Q: Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing,…

A: We want to find n(A⋂B)= ?

Q: In a survey of 165 students, it was found that 65 students use Facebook, 85 students use Instagram,…

A:

Q: A committee of 3 men and 2 women can be formed from a group of 10 men and 9 women in nothing…

A: Given a committee of 3 men and 2 women can be formed from a group of 10 men and 9 women.

Q: In a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: The given data are: In a survey of 120 people, 65 read Newsweek magazine, 20 read both Newsweek and…