A club consists of 48 members. The club needs to choose a president, a vice president, a secretary, and a treasurer. How many ways can this be done?

Q: You and 19 of your friends have decided to form an Internet marketing consulting firm. The group…

A: There are a total of 20 people. So we need to choose a CEO, an operating manager, and a treasurer…

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘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: A group of 14 must select a president, a vice-president, a treasurer, and a secretary. How many ways…

A: The expression,nCr is evaluated using the formula, nCr=n!(n-r)!r! . The number of ways 1 person can…

Q: How many ways can 5 horses come in first, second, and third place in a horse racing competition?

A: How many ways can 5 horses come in first, second, and third place in a horse racing competition:…

Q: How many ways can a class president, vice-president, and secretary be selected from each of the…

A: Given data:   The total number of members in the seventh grade is N=110. The total number of members…

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

A:

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

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: In a club of 15 people, we need to choose a president, vice-president, secretary, and treasurer. In…

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A college math department consisting of 10 faculty members must choose a department head, an…

A: Given, n=10 And we need to choose 3 faculty members from 10, here the order of 3 faculty member…

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

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: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

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

A: Question is solved.

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 ways can the positions of president and vice president be assigned from a group of 8…

A: There are two positions (i) President (ii) Vice president One person can hold only one position. So,…

Q: A club with 17 members must choose a president, a vice president, a treasurer, and a secretary. How…

A:

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

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

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

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

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

Q: A catering service offers 9 ​appetizers, 12 main​ courses, and 7 desserts. A banquet committee is to…

A: The banquet committee can select: 4 appetizers from 9 appetizers in 9C4 ways.  5 main courses from…

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

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: a city council with six members must elect a four-person executive committee consisting of a​ mayor,…

A:

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

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 college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the…

A:

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

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

A:

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: The drama club has 25 members and needs to elect officer. They will need a president, Vice…

A: Given data÷

Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements 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: How many ways can captain, co captain and team manager be assigned to a group of 10 runners at a…

A:

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

A:

Q: If a family has seven children, in how many ways could the parents have three boys and four girls?

A: Since there are 7 children. To find the number of ways such that parents have three boys and four…

Q: In a company, you need to pick from your employees to be the manager, the supervisor, the…

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: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: Given 10 different English books, 6 different French and 4 different German books, how many ways are…

A: Given 10 different English books 6 different French books 4 different German books