4-6: A small college has 10 math majors and will select three of them to receive schol- arships. In how many ways can the selections be made if (a) the scholarships are each for $500? (b) the scholarships are for $900, $500, and $250?

Q: A coin is tossed. If it shows heads, a marble is drawn from Box 1, which contains one white and one…

A: Probability of getting a tail =1/2 Probability of getting  a white marble(when coin flips tail)=2/3…

Q: Example 7. In a survey of 35 students, 17 have opted Management, 10 have opted Management, but not…

A:

Q: A french restaurant offers a menu consisting of three different appetizers, two different soups,…

A: a.

Q: America's favorite alcoholic beverage. Are beer, wine, and liquor equally favored by Americans as…

A: Given Information: Total number of individuals is n=647 Of which 293 selected beer, 218 selected…

Q: Parks Committee: In the County of Eagleton, the City Council consists of 15 politicians: 7 of whom…

A: It is given that there are 15 politicians of which 7 are republican say R and rest which is 15-7=8…

Q: To win at LOTTO And a certain state, When must correctly select 6 numbers from a collection of 55…

A: By the formula of permutation and combination nCr= n!/(n-r)!r!

Q: (b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen…

A:

Q: 11. A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking…

A: Look for worst scenario

Q: At the beginning of a board​ game, players randomly select 3 cones from a group of 10 cones…

A: a) There are total 10 cones. The players randomly select 3 cones.Since the arrangement does not…

Q: A school bag contains 12 pens of which 5 are red and the other are black.   4 pens are selected…

A: Solution :    Given that, School back contains 12 pens. Red pens = 5  , Remaining are black  = 7 4…

Q: 6. You have a pool of 9 women and 16 men, and you need to form a 12-member team made up of six men…

A: Hi! Thank you for the question. AS per the honor code, we are allowed to answer only one at a time…

Q: Example 8. In a survey of Magazine 10,000 families it was found that 4000 families buy Magazine A,…

A:

Q: b) A catering service offers 7 appetizers, 9 main courses, and 8 desserts. A banquet committee…

A: Given : 7 appetizers, 9 main courses, and 8 desserts.

Q: In how many ways can 3 boys and 3 girls be seated at a round table if a.     without restriction b…

A: As per our guidelines we are supposed to answer only one question per post and 3 sub-parts of any…

Q: (b) A committee of 10 people is to be chosen from a group of 12 men and 8 women. How many committees…

A:

Q: 1. a) An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer…

A: 1. a) so employer have to hire 2 people from a list of  13 applicants, Here we use nCr = n!r!(n-r)!…

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A:

Q: A rent a car company has 14 available cars on its lot and 3 customers waiting in the office. Assume…

A: The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: 3. In triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4. There are twenty-two people in a student organization and the club is holding elections for a…

A: d) Given that, Andrew and Jaime each must hold some office. Then remaining offices=2 and remaining…

Q: 3. There are six men and five women in a room. We are going to choose five people from the room. a)…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Nine graduate students have applied for two available teaching assistantships. In how many ways can…

A:

Q: A friend of mine giving a dinner party. His current wine supply includes 13 bottles of zinfandel, 11…

A: Given Zinfandel bottles = 13  Merlot bottles.   =. 11 Cabernet = 9

Q: 1. Jo, a store owner, has an option of selling hot drinks or halu-halo during a championship game.…

A: Given For hot drinks The profit is = P 1,500 on a clear day The profit is = P 9,000 on a rainy day…

Q: 6. You have a pool of 10 women and 16 men, and you need to form an 8-member team made up of four…

A: Total number of men = 16  Total number of women = 10

Q: Parks Committee: In the County of Eagleton, the City Council consists of 15 politicians: 7 of whom…

A: GivenThe total number of politicians =15The total number of Republicans =7The total number of…

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A: To solve this problem, please lest represent the given data in a Venn diagram representation and…

Q: 2) A jar consists of 7 red marbles and 11 green marbles a) How man selections of 8 marbles are there…

A: This Problem is a problem of combinations.  Number of selections of r out of n = nCr = n!r!(n-r)!…

Q: Andy, Bandy, Candy, Dandy, Endy and Fandy wanted to form a school club. They have decided that there…

A: 2. there are 6 members in total Andy, Bandy, Candy, Dandy, Endy and Fandy we need to select one…

Q: Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a desk and a…

A: Given,   A B C D desk 220 300 240 280 vanity 180 100 120 160 Total 400 400 360 440…

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: The product rule supposes that a task comprises of two procedures. if the first procedure can be…

Q: Rework problem 11 in section 2.3 of your textbook about selecting three (3) coins, but assume that…

A:

Q: 7. In a chess competition involving some men and women, every player needs to play exactly one game…

A:

Q: Mary is shopping for houses in the neighborhood.  20 of the houses are between $60,000-$70,000; 30…

A: Given data Price Range No of Houses $60,000 -$70,000 20 $80,000 -$90,000 30…

Q: In a bridge game, a hand consists of 13 cards taken from a deck of 52 cards. (i) A hand is balanced…

A: Total number of cards in the deck = 52 Number of suits = 4 Number of cards for each suit = 13

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A:

Q: Chess clubs of two schools, School A and School B, consist of 5 and 20 players, respectively. If in…

A: Using the fact that n!=n·n-1···2·1. From the school A, 5 players can be chosen in 1 way. Number of…

Q: A group of college students were asked about their TV watching habits. Of those surveyed, 28…

A: Given 28 students watch The Walking Dead, 19 watch The Blacklist, 24 watch Game of Thrones.…

Q: An advisory committee is being formed for a new project at a company. The committee has 6 identical…

A: Given, A committee has 6 identical positions to be filled. Total employees in Research and…

Q: 41-45. In an employee selection of a company, 5 males and 4 females pass the test as the candidate.…

A: Since you have asked multiple question( second and third question) we will solve the second question…

Q: A class consists of 14 boys and 13 girls. They want to elect officers so that the president and…

A:

Q: 3. In triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and…

A: Considering the average running time (at the population level) μ and standard deviation of running…

Q: 13. Knowing that some passengers with tickets won't show up for a flight, airlines often "overbook"…

A: Given: Total number of tickets sold (n) = 24 Probability of showing up (p) = 0.80 Let X be the…

Q: At the start of the month, a dealer purchases four batteries and your warehouse staff selects…

A: Given, At the start of December, the warehouse contains 10 batteries, 3 of which are not fully…

Q: B Activity B: Arrange Me! Directions: Use permutation to answer the following questions. Five bikers…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. The class of Ms. Jina is composed of 10 males and 5 females. In how many ways can he fill the…

A: As par guidelines expert have to answer first question only dear student please upload other parts…

Q: A horse race has 12 horses. i) How many dierent ways can the podium be arranged? (The podium has a…

A: There are 12 horses. I place choices are 12; II place choices are 11; and III place choices are 10.…

Q: 1. Which of the following situation does not require combination? A. Forming a committee of…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4. There are twenty-two people in a student organization and the club is holding elections for a…

A: F