Assume that there is a group of 13 students making presentations on 3 issues: parking fees, recreational sports facilities, and cafeteria quality. One student is selected to be primarily responsible for each issue. No one has responsibility for more than one issue. In how many ways can the issues be assigned?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 6 is to be…

A: As there are 11 girls and 9 boys now if a team of 6 is to be selected. 1) Number of different teams…

Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 204…

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Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

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Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Q: A club with five members is to choose three​ officers: ​ president, vice-president, and​…

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Q: Assume that you have a committee of 15 members, made up of 9 men and 6 women. In how many ways can…

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Q: From the 6 male and 11 female sales representatives for an insurance company, a team of 4 men and 2…

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Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: A sporting goods store has fourteen lines of snow skis, eight types of bindings, eight types of…

A: It is given that, a sporting goods store has fourteen lines of snow skis, eight types of bindings,…

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55…

A:

Q: A sporting goods store has thirteen lines of snow skis, eight types of bindings, eight types of…

A: Consider the given information:  There are 13 snow skies, 8 bindings, 8 boots and 4 types of poles.…

Q: From the 8 male and 9 female sales representatives for an insurance company, a team of 2 men and 3…

A: There are 8 men and 9 women representative for an insurance company, and we have to select 2 men and…

Q: 1. How many different committees of 3 chemists and 2 physicist can be formed from the 8 chemists and…

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Q: Federal Express driver must make ten deliveries to ten different addresses. In how many ways can she…

A: factorial of n items gives you the number of ways you can arrange the given items

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

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

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

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: In a certain state, all car license plates have four capital letters followed by three digits. How…

A: Given Car license plates have 4 (A to Z) capital letters followed by 3 (0 to 9) digits

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 30 members. In how…

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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: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: Suppose that Jeremy is a highschool science teacher and that he is dividing 16 students in his…

A: Given problem Given that   Suppose that Jeremy is a high school science teacher. He is dividing 16…

Q: A company needs to create three new departments and there are seven managers competing to run these…

A: Determine the number of ways in which can three new leaders be appointed. The number of ways in…

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: From the 9 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A:

Q: A student has to answer 8 questions, choosing at least 4 questions from each of parts A. If there…

A: Given,no.of questions in part A=6no.of questions in part B=7

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

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.