If there are three candidates for governor and five for mayor, in how many ways can the two offices be filled?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

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Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

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Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: In an election, there are 3 candidates for governor, 4 candidates for senator, and 5 candidates for…

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Q: How many different teams can be formed?

A: Given  there are 10 males and 8 females to find: needs to nominate 3 men and 3 women for the company…

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

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Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: A student representative group is composed of Adam, Beth, Cathy, David, Erica, Fritz, and Gideon.…

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Q: An equestrian club has seven members. If the club wants to select a president, vice president, and…

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Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

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Q: A club consists of 10 men and 13 women. In how many ways can they choose a president, vice…

A: Question is solved.

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

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Q: If there are four judges and three contenders in a show choir competition, and each judge shall…

A: Combination: The formula for combination of n objects taken r at a time is given as follows: It is…

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Given that there are total 14 members.    A president, a secretary, and a treasurer represent 3…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

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Q: A restaurant has on its menu four fish dishes, two potato dishes, and two green vegetables. In how…

A: Giventhe total number of fish dishes = 4the total number of potato dishes = 2the total number of…

Q: In how many ways can a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

Q: If a club consist of 15 members, how many different ways are there for the club to fill the…

A: The number of members is 15. The number of position is 3.

Q: There are 3 vacancies on the scholarship committee at a certain university. In order to balance the…

A: From the provided information, There are 3 vacancies on the scholarship committee at a certain…

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: A company needs to create three new departments and there are seven managers competing to run these…

A: Determine the number of ways in which can three new leaders be appointed. The number of ways in…

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

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Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: A committee of ten people must choose a president, a vice president, and a secretary. In how many…

A: Given that, A committee of ten people must choose a president, a vice president, and a secretary.…

Q: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

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Q: How many different committees can be formed from 11 teachers and 48 students if the committee…

A: a) answer = (11C3)*(48C2) = 165*1128 = 186120 Therefore, 186120 committees can be possible with 3…

Q: How many different committees can be formed from 6 teachers and 46 students if the committee…

A: Given information- We have given that we have to form a committee of 5 teachers from 6 teachers and…

Q: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

A:

Q: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

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Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

Q: If a club consists of 12 members, how many different ways are there for the club to fill the…

A: Given,total members=12