A firm has 2 Managers, 5 Consultants and 4 Analysts. How many ways can a committee be formed consisting of; a) 1 manger, 2 consultants and 3 analysts

Q: 4. How many committees of 4 men can be formed from a group of 10 Hiet

A: GivenNo. of men in a group=10

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 software company employs 9 sales representatives and 8 technical representatives. How many ways…

A: Solve in the following way

Q: A board of directors of 3 people, including chairman, vice chairman and secretary, will be elected…

A: It is given that, Total number of person =20 and A board of directors of 3 people, including…

Q: In how manyways can 7 honorable people be seated in a round table?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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

A:

Q: How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are…

A: Disclaimer: Since you have posted multiple questions, we will solve first question for you. If you…

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

Q: There are five lab technician positions to be filled at CNHS labs: Nutrient Analysis Lab, Marine…

A: GivenNo.of candidates = 21No.of lab technician positions = 5

Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and…

A: 10 national leaders are to be seated at a round table at a summit. If the presidents of the US and…

Q: The legislature of Puerto rico consits of a 27 member senate and a 51 member house of…

A: Given:(a)There are 27+51=78 members of the legislature.Now, we have find the number of ways to…

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

A:

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: A firm has 2 Managers, 5 Consultants and 4 Analysts. How many ways can a committee be formed…

A:

Q: (a) How many different committees of size 3 can be formed from 14 people? (b) From the 13 albums…

A: a) Given, No of people(n)=14 size(r)=3   How many different committees can be formed.

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

A:

Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Of 75 cars that were inspected, 13 needed brake repairs and 26 needed exhaust system repairs. If the…

A: Here given, needed 75 cars that were inspected brake repairs and 26 needed 13 exhaust system…

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: A survey of 93 persons was conducted at TCC, and it was found that 53 persons carried a cell phone,…

A: Given, 1. people carried a cell phone or a tablet is

Q: I a centain dish network, seventeen channels are devoted to latino programming and ten are devoted…

A: The formula for A∪B can be defined as A∪B=A+B-A∩B .

Q: From  a group of 4 men and 5 women, how many committees of size 3 are possible: a) with no…

A: Given,no.of men=4no.of women=5total no.of people=9

Q: a. Viet Nam Airline has five flights from Ha Noi to Da Nang and six flights from Da Nang to Ho Chi…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A:

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

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: In a club consisting of 15 members, how many different ways can a 4-person committee where everyone…

A: It is given that the club contains 15 members.

Q: There are at present 23 members of the Philippine Senate. In how many different ways can 4 of the…

A:

Q: Suppose a club has 22 members.  How many ways can they form a 5-person committee?

A: Given:  A club has 22 members. We need to form a 5 person committee. We need to find how many ways…

Q: A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How…

A: Given that a box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are…

Q: how many diffrent seating arrangements are possible for king arthur and his 12 knights around their…

A: The number of ways, n items can be arranged around a circular table is equal to (n-1)! . The formula…

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

A:

Q: At Southwestern Oregon Community College, a committee is being formed to decide on what kinds of…

A: Total number of aspirants = 15 Number of spots = 5

Q: a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways…

A: Solution;  Total nonof students =10  No of men=6. & No of women=4 a): to choose a committee of 4…

Q: A PAC executive council has 13 members. In how many ways can they elect a chair person, a vice -…

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

A:

Q: If the goal keeper and defender should be selected from Class X that has 8O students for school…

A:

Q: formed

A: A five-member committee is to be formed from 6 class A, 5 class B, and 4 clas C students. Here total…

Q: At the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people…

A:

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

A:

Q: At Southwestern Oregon Community College, a committee is being formed to decide on what kinds of…

A:

Q: A lacal high school needs to form a committee of its teachers. How many cammittees of five (5)…

A:

Q: Lewis high school is going to select a committee. The committee will have a faculty member a male…

A:

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Since you have asked  multiple question, we will solve the first question for you. If you want any…

Q: At Southwestern Oregon Community College, a committee is being formed to decide on what kinds of…

A: d) Given that there 10 are women and 5 are men. If the committee consists only of women then we have…

Q: Suppose an organization elects its officers from a board of trustees. If there are 52 trustees, how…

A: Given: Number of trustees = 52 Board has to elect a president, vice-president, secretary, vice…

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: Assume that 8 women and 6 men work in a department at a large company.   Four committee members are…

A: There are totally 14 people works in a department at a large company. The committee should choose…

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.