If a club consists of 12 members, how many different arrangements of president, vice-president, and secretary are possible? The number of possible arrangements is

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: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

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

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Q: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

A: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

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Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in a…

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

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Q: A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the…

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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: In how many ways can the committee of 6 members be selected? How many different committees can be…

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Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

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: 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: How many different teams can be formed?

A: Given  there are 10 males and 8 females to find: needs to nominate 3 men and 3 women for the company…

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

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

A:

Q: At a local restaurant, a dinner special consists of choosing a salad, an entree and a dessert. If…

A: If there are 3 choices for salad, 6 choices for the entree, and 4 choices for dessert. At a local…

Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

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 of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

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 radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

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

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: In how many ways can a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

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: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: How many different selections of three books can be made from a set of fifteen books?

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

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: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

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

A:

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

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries, and a…

A: Given, A fast-food restaurant offers a special luncheon menu consisting of a sandwich, French fries,…

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: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

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

A:

Q: Two freshmen and three sophomores from a sorority will attend a conference. If the sorority has 12…

A:

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: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6…

A: