stions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions? 2. Prior to the coin toss for a football game, the captains for the two teams meet at midfield. One team has four captains and the other team has five captains. Each captain from the first team shakes hands with each captain from the other team. How many handshakes occur?

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

A: Follow the steps.

Q: 16) Coach Otis Campbell offered to buy hot dogs for players on his team. Of the 44 players: 6 wanted…

A: Given that: Total number of players = 446 wants all three condiments11 wants ketchup and relish10…

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: 37) A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all…

A: We will solve the following using combination.

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, honey…

A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: A student is to answer 8 out of 10 questions on an exam. (i) How many choices has he? (ii)  How…

A: Given :            A student is to answer 8 out of 1 questions on an exam.

Q: If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is…

A:

Q: In a school with 92 students, 47 live with their biological father and 68 like with their biological…

A: Let S= total students  F= who lives with biological father M=who lives with biological mother Given…

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. (a) How…

A:

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: There are 4 men and 8 women auditioning to be in the school play. Answer the following questions:…

A: 1) We can select 2 men from 4 men in 4C2=6 ways We can select 2 women from 8 women in 8C2=28 ways.…

Q: A test requires that you answer either part A or part B. Part A consists of 8 true-false questions,…

A:

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: bookstore found out that 23% of their customers buy a book, 34% of their customers buy 2, and 39%…

A: Given : A bookstore found out that ; 23% of their customers buy 1 34% of  customers buy 2 books 39%…

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: An exam consits of four true/false questions followed by three multiple choice questions each with 4…

A: (A)The number of ways  for 4 true or false is 2^4 and the number of ways  for 3 multiple choice…

Q: Out of 40 students, 14 are taking Statistics and 29 are taking Mathematics class. If 2 students are…

A:

Q: A comedian knows five​jokes, two are about the weather, and three are about sports. In how many ways…

A: Given information- We have given that a comedian knows five​jokes. No. of jokes about weather = 2…

Q: Suppose a club has 20 members. a. How many ways can they select a chairperson to lead a small…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: A student is to answer 7 out of 9 questions on a midterm test. i) How many examination selections…

A: i) Given that there are total 9 questions and he has to select 7 questions. So the total number of…

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

A:

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: A test requires that you answer either Part A or Part B. Part A consists of eight true-false…

A: We will find the different ways in Part A and Part B

Q: Of the eighth graders at the Paxton school, 12 played basketball, 9 played volleyball, 10 played…

A: Please make a Venn diagram to understand what's going on here:

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: 3) 50 employees of an organization in downtown Minneapolis were asked how they work. 21 employees…

A: The solution is given below

Q: A student is to answer 10 out of 13 questions on an exam. (i) How many choices has he? (ii) How many…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: VI. An organization has 15 members, 3 of whom are analysts, 5 of whom are chemists and the rest are…

A: Given 15(members)=3(analyst)+5(chemist)+7(sales person)

Q: A test requires that you answer either part A or part B. Part A consists of 8 true-false questions,…

A: Part A : Part A consists of 8 true-false questions Possible choices =28=256

Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: The number people to be chosen for the subcommittee is 7. There are 7 democrats and 7 Republicans.…

Q: In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking…

A: The given information is shown in the Venn Diagram

Q: b) A multiple choice exam has 10 questions each with 4 possible answers and 6 additional questions…

A: Solution:

Q: There are 50 guests in a party. If each guest shakes hands with all other guests, how many…

A:

Q: A marketing company did a survey to find out what kinds of soda people drink. The survey found that…

A:

Q: If you are playing dodge ball and there are 24 players, 6 that are skilled, how would you balance…

A:

Q: From a club of 16​people, in how many ways can a group of six members be selected to attend a​…

A:

Q: If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is…

A: a) Since each question result in four different ways  The number of ways is multiplied by a number…

Q: _6. Rylan's basketball team has 11 players. How many ways can his coach choose five starting…

A: Given;  1): No of player =11  To choose 5  starting players from the 11 players then nonof ways ?…

Q: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A:

Q: Among the eight nominees for two vacancies on a school board are four men and four women. How many…

A: Solution: It is given that there are 8 nominees for two vacancies on a school board. There are 4…

Q: In a UC student club, a president and treasurer are to be chosen consisting of 45 people. a. How…

A: Given data: In a UC student club; a president and treasurer are to be chosen consisting of 45…

Q: A test requires that you answer either part A or part B. Part A consists of 6 true-false questions,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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.