A committee of ten people must choose a president, a vice president, and a secretary. In how many ways can this be done?

Q: Three research departments have 6, 10, and 9 members, respectively. Each department is to select a…

A: Given 3 research department having members 6, 10 and 9 respectively. We are about to chose a…

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A: For Que 1: The first department has 7 choices for the delegate and then 6 choices for the alternate,…

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: From a committee of 15, how many ways can we select a President, Vice President, Secretary, and…

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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: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

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: How many ways can a committee of four people be chosen from a group of eight people?

A: Given data, Total number of people = 8 People select for committee = 4

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

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

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Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

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

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

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Q: Three research departments have 8, 7, and 9 members, respectively. Each department is to select a…

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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: How many different committees of size  3  can be formed from  15  people?

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Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

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: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose 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: A class contains 8 boys and 4 girls. In how many ways can the teacher choose a committee of 4?

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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: 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: How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?

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

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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: 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: 1. From a group of 12 teachers, how many different committees can be formed consisting four or five…

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Q: Faculty at a certain university need to create a committee to evaluate the general studies…

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Q: A photographer is asked to submit seven photographs from a collection of 14 for an exhibit. In how…

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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…

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Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

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

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Q: In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40…

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Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

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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: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: there are 4 men and 5 women to form a meeting of a man and a women, in how many ways can a committee…

A: Given,no.of men=4no.of women=5

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

Q: In how many ways can 4 AIRFORCE and 5 ARMIES be seated on a bench if the ARMIES must  be seated…

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Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

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

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Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

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Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

A:

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.