board of directors composed of 8 people, how many ways can 1 chief executive officer, 1director, and 1 treasurer be selected

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: There's a club of 10 men and 13 women. In how many ways can they choose a president, Vice President,…

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: From a committee of 15, how many ways can we select a President, Vice President, Secretary, and…

A:

Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: A president, vice-president, secretary, and treasurer are 4 different positions.  So we will have to…

Q: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: There are 6 Republican, 5 Democrat, and 4 lndependent candidates. How many different ways can a…

A:

Q: From the 6 male and 11 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company…

A: Number of male employees = 8 Number of female employees = 7

Q: A student club consists of 10 freshmen and 8 sophomores. How many different four-person committees…

A: A student club consists of 10 freshmen and 8 sophomores.

Q: In a club with 8 members, how many ways can a slate of 3 officers consisting of president,…

A:

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: From the 10 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: From the 11 male and 11 female sales representatives for an insurance company, a team of 4 men and…

A: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

Q: From the 8 male and 9 female sales representatives for an insurance company, a team of 2 men and 3…

A: There are 8 men and 9 women representative for an insurance company, and we have to select 2 men and…

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: If 20 women are entered in the Miss Georgia contest, in how many different ways can the judges…

A: Given that 20 women are entered in the Miss Georgia contest.

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

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

A: Given Data: The total number of members is: n=25 There are three members required a president,…

Q: How many different committees can be formed from 9 teachers and 44 students if the committee…

A:

Q: In a club consisting of 15 members, how many different ways can a 4-person committee where everyone…

A: It is given that the club contains 15 members.

Q: From the 8 male and 10 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: From 8 male sales representatives  , 2 men can be selected in 8C2 = 28 ways. From 10 female sales…

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

A:

Q: The current US Senate consists of 53 Republican members, 45 Democratic Members, and 2…

A: From the provided information, Total Republican members = 53 Total Democratic members = 45…

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

A:

Q: A company has 10 members on its boards of directors. In how many different ways can they elect a…

A: The total number of board of directors = 10. The officers need to be elected = 4 (President,…

Q: A company has 12 male and 8 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: A company has 12 male and 8 female employees and needs to nominate 3 men and 3 women for…

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are cho- sen from…

A: Here, 3 students are chosen from each senior, junior and sophomore.

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: In a board of directors composed of eighteen people, how many ways can a chief executive officer, a…

A: Given data, No of people=18 No of designations=3 No of ways=?

Q: A president, vice president, and 2 at-large members are selected for a school council from 10…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: In a local club composed of 27 people, how many ways can 1 president, 1 vice President, 1 secretary…

A: Total number of people composed = 27

Q: How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?

A:

Q: From a club of 24 members, a President, Vice President, Secretary, Treasurer and…

A: Given Data: The number of members in the club is: n=24 Five members such as a president, vice…

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: Faculty at a certain university need to create a committee to evaluate the general studies…

A:

Q: A committee of 3 faculty members and 5 students is to be formed . Every committee position has the…

A:

Q: There are 25 people in a club. In how many ways can the club elect a president, a secretary and a…

A:

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: Ifa restaurant menu offers 7 appetizers, 6 main courses, and 11 desserts, how many different meals…

A:

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 club with 25 members is to select five officers (president, vice president, secretary, treasurer,…

A:

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 committees of two people can be chosen from this group of four people: Kyungsoo, Jaebeom,…

A: Total number of people are 4. Number of member for committee are 2.

Q: In a club with 10 male and 11 female members, how many 6-member committees can be selected that have…

A: Determine the number of 6 member committees can be selected that have not more than 2 men.   The…

Q: From the 6 male and 6 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: We will find out the required value.

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.