Ten candidates are competing for a president and a vice-president positions. How many ways those candidates can be selected?

Q: The board of directors of a corporation comprises 9 members. An executive board, formed by 4…

A: number of ways select of r objects from n objects  =ncr =n!/[(n-r)! r!]

Q: How many different ways a president and a vice president  can be selected from a group of 1414…

A: Total number of candidates = 1414. No. of candidates to be selected =2. Here, while appointing…

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: The Managing director of a company wishes to form a committee consisting of 4 members from a pool of…

A: We have to find no of different combinations possible.

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

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

A:

Q: How many different ways can a club of 20 members select a 3-member officer-nominating committee from…

A: Given Information:  Total members = 20  Number of members to be selected = 3

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: An election ballot asks voters to select four city commissioners from a group of sixteen candidates.…

A: Given data,Number of candidates n=16Number of commissioners r=4Number of ways it can be done=?

Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

A:

Q: From 10 names on a ballot, a committee of 4 will be elected to attend a political national…

A: From 10 names on a ballot, a committee of 4 will be elected to attend a political national…

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

A:

Q: A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position…

A: It is given that Number of faculty members = 8 Number of students = 13

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: Eleven people work in an office. If six of them are to be chosen to serve on a hiring committee, how…

A: Total people in office = 11 Six of them are to be chosen to serve on a hiring committee.

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: 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: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 4 colors, and 5 fabrics, in…

A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5

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: A baseball team is having a walk-on tryout camp for players. Thirty-four players show up at camp,…

A: Number of players (n) = 34 Coaches choosing only (r) = 3 By using combination formula

Q: There are 12 qualified applicants for 5 trainee positions in a department store. How many different…

A: Given There are 12 qualified applicants for 5 trainee positions in a department store. This problem…

Q: how many different ways can 15 runners finish in the first five places of a race?

A: It is given that n is 15 and r is 5.

Q: Six players are to be selected from an 11​-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

Q: The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is…

A: The permutation formula is nPr = n!/(n-r)!

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

A:

Q: An election ballot asks voters to select five city commissioners from a group of fourteen…

A: It is provided that in an election 5 city commissioners are selected from a group of 14 candidates.

Q: How many ways can a committee of 4 be selected from a club with 22 members?

A: It is an important part of statistics. It is widely used.

Q: There are 6 runners in a race. In how many ways can 3 runners finish in first, second, and third to…

A:

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

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: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. In how…

A: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. I Total…

Q: 8. In a beauty contest, there are 12 semi-finalist from which 5 winners will be chosen. How many…

A: Here we have to choose 5 winner among 12 semi finalists as shown below

Q: n a club with 10 members, how many ways can a slate of 3 officers consisting of president,…

A: We have given that,  Total number of members in a club = 10 To choose  3 officers consist 1…

Q: The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is…

A: Given data; The number of spots available  in cabinet he/she is appointing(x) = 5 The eligible…

Q: How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: Given that, there are 8 equally qualified recent graduates for openings in an accounting firm. i.e,…

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

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 college plans to interview 8 students for the possible offer of graduate assistantships. The…

A:

Q: In how many ways 5 passengers can sit in a compartment having 16 vacant Example 39. seats?

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: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: The total number of films  =40  the number of ways to give first prize  is    =40 the number of ways…

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: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A: Here, we have to find no of ways 3 city commissioners from a group of 6 candidates. L

Q: many

A:

Q: An election ballot asks voters to select five city commissioners from a group of twelve candidates.…

A:

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: How many different ways a president and a vice president  can be selected from a group of 20…

A: Combination is a method in mathematics that is used to calculate the number of way certain objects…

Q: How many combinations are possible to select a student president, vice president and treasurer among…

A:

Q: An election ballot asks voters to select six city commissioners from a group of seventeen…

A: We want to find the number ways

Q: In a beauty contest, there are 5 semifinalist from which 3 winners will be chosen. How many ways can…

A: Combinations :   Crn = n!r! (n-r)! We say that there are Crn combinations of size r that may be…

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.