For this problem, assume the test had 5 true-false questions and 7 multiple-choice questions, and that each multiple-choice question had 3 choices. How many different answer sheets can be submitted?

Q: True or False: since C(n, r) = C(n, n - r), then the number of ways to choose 5 out of 18…

A:

Q: A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 4…

A:

Q: Professor Easy's final examination has 14 true-false questions followed by 3 multiple-choice…

A: Given:- Professor Easy's final examination has 14 true-false questions followed by 3 multiple-choice…

Q: Forty women were asked regarding 2 known brands of bag, it was found out that:   15 women use…

A:

Q: Professor Tough's final examination has 22 true-false questions followed by 3 multiple-choice…

A:

Q: You are randomly selecting your friends to go with you to dinner. You can bring 3 friends, but you…

A: In this question it has been asked to find out the probability of choosing 7 friends who will not be…

Q: .a) If Maria does not know the correct answer to a question, is it to her advantage or disadvantage…

A: Here given, Maria is taking a multiple choice exam in which there are five possible answers for each…

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

A:

Q: Answers must be in 4 decimals 1.At a breakfast buffet, 93 people chose coffee only and 47 people…

A: Solution According to guidelines we solve only first question

Q: A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 7…

A: Explanation: a) Given that,  Choose 5 posters out of 7. P57=7!(7-5)!=7×6×5×4×3=2520

Q: An ice cream shop offers 5 different flavors. It also offers a choice of 3 different cones, and a…

A:

Q: Maria is taking a multiple choice exam in which there are five possible answers for each question.…

A:

Q: Professor Tough's final examination has 23 true-false questions followed by 3 multiple-choice…

A:

Q: You are taking a​ multiple-choice test that has 7 questions. Each of the questions has 3 answer​…

A:

Q: Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task, In the class, Peter…

A: Given information total number of students =20 Number of students in a group =4 Total number of…

Q: My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for…

A:

Q: avi got 18 out of 20 and Karla got 85% on the same test which one is greate

A: To determine which of the following is greater. Ravi got 18 out of 20 Karla got 85%

Q: When three professors are seated in a restaurant, the hostess asks them: “Does everyone want…

A: The reply of the first professor to the question “Does everyone want coffee?” is ,“I do not know”.…

Q: For this problem, assume that 13 exhibits entered the science fair and that we want to assign 4…

A: From the provided information, Total exhibits = 13 Total prizes = 4

Q: In a society where 60% of the citizens identify as liberal and 40% of the citizens identify as…

A: Here we want to know given statement is true or not.

Q: Professor Tough's final exam has 20 true/false questions followed by 3 multiple choice questions,…

A: Given  Professor Tough's final exam has 20 true/false questions followed by 3 multiple choice…

Q: select

A: We have to choose the correct answer from the given options according to the given information

Q: To fill a number of vacancies, the personnel manager of a company has to choose three secretaries…

A: The number of ways a company has to choose three secretaries from among ten applicants can be done…

Q: For this problem, assume the test had 7 true-false questions and 7 multiple-choice questions, and…

A: Each true-false question can be answered in 3 ways.  [True / False / Left blank] So 7 true-false…

Q: A professor wanted to determine whether an online homework system improved scores on a final exam.…

A:

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: Suppose we select 3 students randomly out of a class of 10 students to read a paper from the…

A:

Q: 6. Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: 6. Given that, there are 10 vegetarian options and 6 options with meat at a buffet. It is required…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8…

A: Given data: The number of cars to pick is r=4. The number of subcompact cars is s=8. The number of…

Q: 5. The school has case of 144 donut holes and a case of 24 milks. If these are divided evenly among…

A: 5. Given  The school has case of 144 donut holes and a case of 24 milks.

Q: An ice cream shop offers 4 different flavors. It also offers a choice of 3 different cones, and a…

A:

Q: You have a test coming up that will consist of five true-false questions and five multiple choice…

A: There are only one way to answer correctly for true of false question and only one way to answer…

Q: 5. The school has case of 144 donut holes and a case of 24 milks. If these are divided evenly among…

A: 5) As there are 144 donut holes and a case of 24 milks , we need to distribute evenly among the…

Q: Helen wants to compare two machines in her factory to see if the wrapping was satisfactory. She…

A: There are two independent samples which are machine A and machine B. We have to test whether there…

Q: An exam is broken into two parts, Part A and Part B, both of which you are required to do. In Part A…

A:

Q: A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 6…

A: Given, A test requires that you answer first Part A and then either Part B or Part C. Part A…

Q: Mr. Schmidt surveyed his class and found that 70% of the students have at least one pet. If 21 of…

A:

Q: Mr. W wants to divide a class of 20 students into 5 groups of 4 for a.same task. In the class, Peter…

A: Given 20 student divide into 5 groups of 4 for a same task Find How many ways are there to group the…

Q: assume the test had 6 true-false questions and 8 multiple-choice questions, and that each…

A: There are 6 True-False questions.  So, each of these has 2 possible answers, so there are 26…

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: we are 2 whole numbers less than or equal to 12, our LCM is 24, our GCF is 1

A:

Q: Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to…

A: Solution:

Q: *For the following scenario, state whether it involves a permutation or a combination, then find the…

A:

Q: In Yoongi’s drawer, there are 7 identical pairs of brown socks and 9 identical pairs of green socks.…

A:

Q: If a contingency table has eight rows and nine ​columns, how many degrees of freedom are there for…

A: We know that, If a contingency table has l rows and k ​columns. Then degrees of freedom are there…

Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

A:

Q: How many selections there to buy the six computers if the high school wants 4 domestic and 2…

A: HERE SELECTION OF 6 COMPUTER FROM TWO CATEGORISED COMPUTERS  2 ARE FROM FORGEIN MADE AND 4 ARE FROM…

Q: For the following scenario, state whether it involves a permutation or a combination, then find the…

A: A scenario is given. The objective is to tell if it is a permutation or a combination.

Q: For this problem, assume the test had 8 true-false questions and 10 multiple-choice questions, and…

A: Given that there are 8 true or false questions and 10 multiple choice question and each multiple…

Q: If there are 120 people in your college class, are there at least 5 people that share the same last…

A: The pigeonhole principal can be used to calculate the least number of objects in the box. The…

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.