How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are selected from a block of 45, 3 are selected from a block of 57, and the others are selected from the remaining 69 countries?

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 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 new committee is to be made from the 8 members of city council. Each member can choose to be on…

A: We have to find nom of committee possible.

Q: B. It is in international summits that major world decisions happen. Suppose that you were the…

A: Given : There are 12 country-representatives  We have to find the number of seating arrangements…

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

A:

Q: In Exercises 11– 14, determine whether the situation involves permutations or combinations. Then…

A: i have solved que 11 for you.

Q: 1. In how many ways can the 10 candidates in the Ms. Universe win the Ms. Universe title, First…

A:

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: The Republic of Amador is composed of five states, A, 3, C, D, and E. According to the country's…

A:

Q: It is in international summits that major world decisions happen. Suppose that you were the overall…

A: The number of ways to arrange n objects in a circle is (n-1)!

Q: 12) From a committee of 1O, how many ways can we select a President, Vice President, and Secretary?…

A: From a committee of 10, how many ways can we select a president, vice president andand secretary.

Q: A delegation of four students is selected each year from a college to attend the National Student's…

A: Given information: A delegation of four students is selected. Therefore, x=4 a.) Here, we need to…

Q: How many different letter arrangements can be made from the letters in the word of…

A: Here,I have answered for questions a...bacuase as per Bartleby guideline,iam only allowed to solve…

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

A: Given : No. of statisticians = 5 No. of economist = 6 Total no. of persons = 5+6=11 Sample size (n)…

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 9. In how many ways can a committee of 5 persons be chosen from 7 ladies and 9 men if there is no…

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

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: A committee of 5 members has to be formed from 8 boys and 12 girls. Find the number of ways to form…

A:

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

A:

Q: How many ways are there to select 9 countries in the United Nations to serve on a council,if 3 are…

A: This question is related to permutations and combinations, we will solve it using given information.…

Q: 3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12…

A: Using permutations and combinations total number of ways can be calculated

Q: In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How…

A:

Q: The local elementary school PTA is forming a 5 member committee to organize the campus…

A:

Q: Considering the 5 red list countries namely: Austria, Belgium, Switzerland, Namibia, Hungary, how…

A: There are totally 5 red list countries namely: Austria, Belgium, Switzerland, Namibia, Hungary.

Q: 7. In how many ways can a committee of three be formed from a group of 10 members?

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: A) A jury of 9 members is to be selected from a group of 25 individuals.   How many different…

A: As per our guidelines, we are allowed to answer one question per query only. Here all the 3…

Q: 2. The board of directors of a corporation comprises 9 members. An executive board, formed by 4…

A: 2. Combinations: The number of combinations of r items selected from n items is, Crn=n!n-r!r!

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: There are 10c first tier national rugby union teams Argentina, AUstrallia, England France,Ireland,…

A: (a) The number of ways to choose two team pairing among the ten teams will be:

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: There are 5, 3rd year students, and 4, 4th year students qualified to join a contest. In the group…

A:

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

A:

Q: 4. In how many ways may the judges in a beauty pageant choose a winner and a first runner-up if…

A: The objective is to find the number of ways that the judges can select a winner and a runner-up from…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: how many of the cities mentioned had only a professional sports team

A: From the diagram First lets fill in region 5 5 cities had all 3 activities 11 cities had both of…

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Q: How many different possibilities are there for the membership of the working group?

A: Here given A hospital working group of 8, consisting of 3 doctors, 2 nurses and 3 lawyers is to be…

Q: The student body of 95 students wants to elect two representatives. Combination; 2,232 O…

A:

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 committees of five with a given chairperson can be selected from 12 persons?

A: See solution below

Q: 1. In how many ways can the position of president and secretary of an organization be  filled if…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use counting Principle  there are total 4…

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

A: Number of third year students qualified to join the contest = 5 Number of fourth year students…

Q: 5 is to be apportioned among these states

A: Given: Numbed of seat= 17 Total population= 20090 To find: Tentative appointment using Hamilton's…

Q: How many ways are there to select 12 countries in the United Nations to serve on a council if 2 are…

A:

Q: all country with a population of 7,000,000 consists of four states, A, B, C, and D. There are 140…

A:

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: 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…

Q: In how many ways can the hosts of the ASEAN Summit choose the main judge, secondary judge, and…

A: Here Given For ASEAN Summit  Participants are 3 Filipinos, 4 Chinese, and 6 Vietnamese SO  Total No…

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.