1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific persons, among 8, insist on following each other?

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: In how many different ways can five teaching assistants be assigned to five sections of a course in…

A: It is given that 5 teaching assistants have to be assigned for 5 sections of a statistics course.…

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: How many ways may 5 students be elected from a club with 45 members?

A: Total number of students = 45 Number of students to be selected = 5

Q: In how many ways can a class of 19 students be assigned 2 A's, 2 B's, 10 C's, 2 D's and 3 F's?

A:

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: The chess club has six members. ​(a) In how many ways can all 6 members line up for a​ picture? ​(b)…

A:

Q: 9. In how many ways can a committee of 5 persons be chosen from 7 ladies and 9 men if there is no…

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

A:

Q: Out of 9 children, in how many ways can a family have at least 1 girl?

A: We have given that, 9 children i.e. n=9 and family have at least 1 girl i.e. r=1   Combination…

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

A:

Q: a. How many different ways can the officers be appointed?

A: Given that  A corporation must appoint  A president , Chief executive officer (CEO) , Chief…

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: In how many ways is it possible to elect a president, a vice-president, and a secretary (in that…

A: The total number of members in the club is: n=20 From the given club a president, a vice-president,,…

Q: 1. In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5…

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Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: 6-a-in how many ways may can five persons line up to get a bus ? B-in how many ways may these same…

A: b)

Q: In how many different ways can 17 faculty members form a panel consisting of a​ Chair, a Vice​…

A:

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: In how many ways can a Riders Org. chapter with 30 directors choose a president, a vice president, a…

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Q: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

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Q: How many different flag signals, each consisting of 7 flags hung vertically, can be made when there…

A: Given: Total number of flags = 7 Number of red flags = 3 Number of blue flags = 2 Number of white…

Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

A:

Q: In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40…

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Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

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Q: n how many ways could a club of 19 members choose a president, vice president, and treasurer?

A: The club has 19 members. To find the number of ways to choose a president, vice president, and…

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: In how many ways can three hearts be drawn from a deck of cards? (Order is not important.) _____…

A: Given: There are 13 hearts in total

Q: In how many ways can six medical technology students be seated in a round table if two of the six…

A: The number of ways n people can arrange in a seating order is (n!).

Q: In how many ways can a group of eight persons arrange themselves around the circular table?

A:

Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: In how many ways can 10- different-colored horses be positioned in a carousel? 504 O 4,032 O 362,880…

A: Given that  In how many ways can 10 - different -colored be positioned in a carousel  Positioning in…

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A:

Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

A: