If there are eight people on the board of directors in how many ways can one choose president secretary and treasurer

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: We have given that,  Number of Democratic senators = 69 Number of Republican senators = 31

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: In an office of 18 people, there are 7 men and 11 women. A subcommittee of four people will be…

A: Given: total = 18 members Number of men = 7 Number of female = 11

Q: A bride is choosing a dress for her bridesmaids. If there are 2 styles, 5 colors, and 3 fabrics, in…

A: Given that  A bride is choosing a dress for her bridesmaids. Number of styles = 2 Number of colors =…

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 18 mathematics majors and 325 computer science majors at a college. In how many ways can…

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

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

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

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

Q: A restaurant offers a $12 dinner special that has 5 choices of appetizer, 10 choices for an entree…

A: Given data,  5 choices of appetizer 10 choices for an entree  3 choices for a dessert

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

A:

Q: There are 23 guest at your home for a dinner party. In how many ways could the guest arrange…

A:

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

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

A:

Q: There are 12 members who are part of the student senate group. How many ways can the teacher…

A: We have to find the no of ways  can the teacher supervisor choose three of them to attend 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: Find the number of ways a president, a vice president, and a secretary can be chosen from among…

A: This is a problem of combinatorial, Finite Math.

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: A small town have five police cars: when a call comes in the dispatcher may dispatch no cars, one…

A: Given that there are 5 cars.  The dispatcher may dispatch no cars, one car, two cars, three cars,…

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: There are 13 female board members and 17 male board members. How many ways are there to make 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: How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts

A:

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

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

A:

Q: How many committees of 10 people can be formed out of 29 people

A: Given that 10 people of committees can be formed out of 29 people

Q: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 4?

A:

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: The Grossmont College Student Council has 12 members.  How many different groups can be formed to…

A:

Q: ow many three-member committees can be formed from a group of seven people?

A:

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Combination Rule:A combination is a selection of all or part of a set of objects, without regard to…

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: There are 7 athletes at a track meet. How many different ways can they finish first, second, and…

A: Principle counting is a measure used for counting. It measure the number of possible outcomes in an…

Q: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

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

A:

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: In how many ways can three boys can be seated ?on 8 chairs

A: The number of ways to select r objects out of n distinct objects is given by the rule of…

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 class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 5?

A: Given information- We have given that a class contains 8 boys and 4 girls. The teacher has to make a…

Q: There are 9 female board members and 21 male board members. How many ways are there to make a…

A: given that there are 9 female board members and 21 male board members.

Q: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. In how many ways can a customer order…

A: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. The number of ways can a customer…

Q: 3. In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black, 2…

A: Answer: In 180 ways 2 black , 2 white, and 2 red pens can be chosen.

Q: There are 5 women and 8 men in a department.  How many ways can this committee be selected if there…

A: It is given that, There are 5 women and 8 men in a department.

Q: There are 12 teams in a league. In how many ways can the teams finish first, second, third, and…

A: A permutation is a mathematical tool that helps us to find the number of possible arrangements in a…

Q: An ice cream store sells 4 drinks, in 3 sizes, and 7 flavors. In how many ways can a customer order…

A:

Q: A charity organization has 23 members. They need to choose a president, vice-president, and…

A: Given  Members in a charity organization = 23 members

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

A: It is given that there are 19 members on the board of directors and must select three members.

Q: There are 125 students in a class. At least how many students came from the same state if there are…

A: There are 125 students and 16 states We divide 125 by 16 to find the least number of students from…

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.