From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will be filled. In how many different ways can the offices be filled?

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: board of directors composed of 8 people, how many ways can 1 chief executive officer, 1director, and…

A:

Q: If a person can select five books from a list of ten, how many different combinations are there?

A: Given data: The total numbers of books are n=10. The number of books selected is r=5. The expression…

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: answer is in next step

Q: In how many ways can 5 people be seated on a sofa, if there are only 3 seats available? * In how…

A:

Q: Out of a group of eight students serving on the Student Government Association, how many different…

A:

Q: The Chess Club has 15 members. The club wants to elect a president, vice president, secretary, and…

A:

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

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

A:

Q: There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a…

A:

Q: Out of the 12 people applying for a scholarship, a) how many ways can we select a group of five to…

A: N : number of students = 12 a) To select 5 people. = (12),(11),(10),(9),(8)  are the choices for…

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…

A: Let, N be the number of different available plansFirst operation (choice of home design) can be…

Q: In a student organization, there are 11 freshmen, 8 sophomores, 19 juniors and 24 seniors. 1. How…

A:

Q: From among 11 people you must choose a President, a Vice President, a Secretary, and a Treasurer.…

A: Given Information: There are 11 people out which a President, a Vice President, a Secretary, and a…

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

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: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

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

A: Question is solved.

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: 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: 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: In a certain beauty pageant, there are 10 equally beautiful and talented candidates. In how many…

A:

Q: A committee of 8 people randomly chooses 3 people in order to be president, vice president, and…

A: Total person = 8 to chosen = 3 Order = considered

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

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: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

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: In how many different ways can we select a committee of four members from 13 applicants?

A:

Q: How many different committees can be formed each consisting of 4 men and 4 women from a pool of 9…

A: The number of men in the pool are 9. The number of women in the pool are 10. The number of men…

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

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: From a group of 7 men and 6 women, any five persons are to be selected to form a committee. In how…

A:

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: From a group of 20 people, 12 are selected to serve on a jury during a trial. How many different…

A: The total number of combinations possible if we select r things which are chosen at a time  from n…

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

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…

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: A club with 23 members is to select a committee of six persons. In how many ways can this be done?

A: Given: The number of members in a club is equal to 23, To find: The number of ways of selecting a…

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

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

A:

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: How many different ways a president and a vice president  can be selected from a group of 14…

A: To find the number of different ways in which a president and a vice president can be selected from…

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.

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.