87. Seating Arrangements In how many ways can four men and four women be seated in a row of eight seats for each of the following arrangements? (a) The first seat is to be occupied by a man. (b) The first and last seats are to be occupied by women.

Q: 84. Parking Committee A five-person committee consisting of students and teachers is being formed to…

A: To find: The number of ways can the committee be formed of five person if one student and one…

Q: 3. You have a bag of 100 marbles, and it contains 6 different types of marbles. You decide you want…

A:

Q: III. In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there…

A: (3) (a)  here number of gentleman=7 number of ladies==3 number of couples=3 if we consider couple(…

Q: In how many ways can 8 surfboards be selected from 22 different surfboards? ways? _______ ways

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

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

A:

Q: 86. Arranging a Class Picture In how many ways can ten stu- dents be arranged in a row for a class…

A: Given: In how many ways can ten students be arranged in a row for a class picture if John and Jane…

Q: Twenty race cars started the 2012 Daytona 500. How many ways can the cars finish first, second and…

A: Total number of cars is 20. It is required to find the ways in which the cars finish first, second…

Q: In how many ways can 5 boys and 5 girls be seated in row of 10 chairs a. without restriction b. if…

A: Given: 5 boys and 5 girls are to be seated in a row of 10 chairs.

Q: 2 a) Six friends together with their respective partners all meet up for a meal. To commemorate the…

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: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: 1) A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Ten people (5 men and 5 women)are attending a dinner party. In how many ways can they be arranged…

A: Ten people (5 men and 5 women)are attending a dinner party.

Q: 81. Hockey Lineup A hockey team has 20 players, of whom 12 play forward, six play defense, and two…

A: A hockey team has 20 players, of whom 12 play forward, six play defense and two are goalies. In how…

Q: 2. Suppose you bought a lot from a shopping spree. You have 3 new shirts, 4 new jeans, 4 different…

A: The number of ways to select r number of different objects, from n number of different objects, can…

Q: In how many ways can 8 people be seated in a row if there are two women and these women should sit…

A: Total number of people = 8 Two women are seated in first and sixth place. Now, there are only 6…

Q: In how many ways can 5 boys and 5 girls be seated in row of 10 chairs a. without restriction b. if…

A: Given problem Given that   Total number of students = 5 boys + 5 girls = 10 a) Number of ways to…

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: In how many ways can you create a hamburger if you have a choice of either a single- or…

A: Given: Choices to create a hamburger. Ways to select a single or double patty=2 As there can be any…

Q: ways can they sit in a row if just the girls are to sit togetne. How many different signals, each…

A: Combination:The number of different selections of ‘r’ elements from a set of ‘n’ elements is denoted…

Q: 5. A sports store sells tennis racquets of six different brands: Wilson, Prince, Babolat, Dunlop,…

A: Here we use permutation-combination concept. We have to choose four racquets out of 6 racquets in…

Q: 3. A conference hall has 20 rows of seats. The first row contains 20 seats, the second row contains…

A: It is given that there are 20 rows and the number of seats in each row are: Row123……20Number of…

Q: Permutation How many different ways can five people - Alex, Brenda, Carol, Dar and Ella- sit in a…

A: Given: n=5 A: Alex B: Brenda C: Carol D: Dar E: Ella

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: no restrictions are imposed b. 2 particular statisticians must be on the committee

A:

Q: How many different ways can you arrange 3 letters {T, S, U} such that repetition is allowed and the…

A: Permutation: A permutation is defined as the ways in which objects canbe arranged.There are two…

Q: 5. Seven women and nine men are on the faculty in the mathematics department. How many ways are…

A: Given, 7 women and 9 man are in department Therefore, Total number of faculties are 16

Q: 9. A class has 10 girls and 12 boys. The teacher wants to make a committee of 4 consisting of 2 boys…

A: We know nCr= n!/[r!(n-r)!]

Q: 1. At a certain university 523 of the seniors are history majors or math majors (or both). There are…

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

Q: A president, a treasurer and a secretary are to be chosen in an organization having 30 members. A.…

A:

Q: A group of ten people are attending the movies together. (a) Two of the ten insist on sitting…

A: Given that, a group of ten people are attending the movies together. a) Given that, two of the ten…

Q: In how many ways can a group of 10 people be seated around a table if 3 of them insist on sitting…

A: We have to find number of  ways can a group of 10 people be seated around a table if 3 of them…

Q: b) How many ways can you order 6 donuts from a shop that has 4 types {A, B,C, D} if you can only…

A: Given, order 6 donuts from a shop that has 4 types To find: The probability of at most 3 donuts of…

Q: 83. Choosing a Committee In how many ways can a committee of four be chosen from a group of ten if…

A: we have to tell how many ways can a committee of four be chosen from a group of ten if Barry and…

Q: In how many ways can 3 boys and 3 girls be seated at a round table if a. without restriction b 2…

A: Given that we have 3 boys and 3 girls. So the total number of persons = 3Boys + 3 Girls =6 Now we…

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

A:

Q: 4. Six people attend the theater together and sit in a row with exactly six seats. a. How many ways…

A:

Q: A high school tennis team is scheduled to play 28 matches. If the team wins 60% of the first 15…

A:

Q: 12. [Bonus] In how many ways can 7 people A, B, C, D, E, F and G be seated at a round table so that…

A: Consider the given information as 7 people A, B, C, D, E, F, and G be seated at a round table, so…

Q: . A donut shop has 8 different types of donuts available. a) How many different ways are there to…

A:

Q: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…

A: There are n identical packages that must be loaded into 10 trucks in such a way that there are no…

Q: 2. You are planning a wedding, and there are 10 people participating in the wedding ceremony. (i) (…

A: i) So in here, the Left and Right side persons are fixed, 5-5 in number, so total number of ways are…

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: Suppose that every person in a 26-member student organization is either a first- year, second-year…

A: Given that: Number of students in the organization = 26 Number of categories = 3

Q: 2. A lunch menu consists of 6 different kinds of sandwiches, 3 different kinds of soup and 4…

A:

Q: 37. exactly one woman is in one of the first five seats. 38. three women are seated in the first…

A: Hello thank you for the question, As you have mentioned question number 37 and 38, answering those…

Q: Five men and five women line up at a checkout counter in a store. In how many ways can they line up…

A: Consider the given: According to Question: Number of ways can five men line up at the counter =…

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

A: