Question
5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in
sales, 2 in accounting, and 3 in marketing. A committee of 6 people is to be formed to
meet with upper management.
(a) How many different committees can be formed?
(b) In how many ways can the committee be formed if there is to be one member from
each department?
(c) In how many ways can the committee be formed if there must be exactly two
members from manufacturing?
(d) In how many ways can the committee be formed if the accounting department is not
to be represented and marketing is to have exactly one representative?
expand button
Transcribed Image Text:5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in accounting, and 3 in marketing. A committee of 6 people is to be formed to meet with upper management. (a) How many different committees can be formed? (b) In how many ways can the committee be formed if there is to be one member from each department? (c) In how many ways can the committee be formed if there must be exactly two members from manufacturing? (d) In how many ways can the committee be formed if the accounting department is not to be represented and marketing is to have exactly one representative?
Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
Not helpful? See similar books
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Second-order Linear Odes. 1RQ
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: How many ways are there to distribute 18 chocolate doughnuts, 12 cinnamon doughnuts, and 14 powdered…

A: Let a,b,c,d denote the four principals. Since each principal gets at least two doughnuts of each…

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

A: Click to see the answer

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: ee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores,…

A: The selection of elements without arrangement can be represented by a combination of elements. We…

Q: 8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A: Click to see the answer

Q: 26. A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to…

A: Click to see the answer

Q: If 5 out of 7 students at a college are full-time students, what is the enrollment at the college if…

A: Click to see the answer

Q: guidance counselor is planning schedule for 30 students. Sixteen students say they want to take…

A: As per our guidelines,w e are allowed to answer first three sub-parts only. thanks Given : F = 16…

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

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: In how many ways could a committee be formed that included 3 Conservatives, 3 Liberals, 2 NDP and 1…

A: Number of conservatives = 14 Number of Liberals = 23 Number of NDP = 8 Number of independent members…

Q: from a committee of 10 persons in how many ways can we choose a chairperson, a vice chairperson, and…

A: Click to see the answer

Q: 1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4…

A: Click to see the answer

Q: 1. The Rotary Club and the Jaycess Club had a joint Christmas party. 120 members of the Rotary Club…

A: Venn diagram are used to understand the set of relationship between the two or more sets. It also…

Q: How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: Given: Total number of people = 10 (including Francis and Jojo)Required committees = 4 person

Q: Deal with the following situation: Of a company's personnel, 7 people work in design, 14 in…

A: Click to see the answer

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants to be chosen from 7 applicants are 2. Number of applicants to be chosen…

Q: In how many different ways can the director of a design and structural department choose 2 Civil…

A: Click to see the answer

Q: 3. While they were researching marmosets, a particularly convoluted walk through Wikipedia caused…

A: Total number of letters=28 , which includes  A N T I D S E B L H M R 4 3 3 5 1 4 2 1 1 1 2 1…

Q: From a group of 10 men and 5 women, how many committees of size 5 are possible? a.) With no…

A: Given From a group of 10 men and 5 women, how many committees of size 5 are

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: I A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How…

A: Solution

Q: I A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How…

A: It is been asked to find the number of subcommittees of 5 members formed using given information.

Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

A: Determine the number of ways that a 4-person committee where everyone is considered equal. The…

Q: 3. A teacher will ask the first student that arrives to class to hand out papers, the second student…

A: given,      total number of students =16, first student to hand out papers ,second student to take…

Q: 2. How many different committees of 4 members can be formed from a group. with 7 seniors and 6…

A: Permutations is the collection of items or elements arranged in a different way with ordering where…

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: Faculty at a certain university need to create a committee to evaluate the general studies…

A: Click to see the answer

Q: 11. How many 12-person juries can be made from a jury pool of 20 people?

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

Q: 11) A board of directors needs to assign a chair, vice chair, treasurer, secretary and…

A: Click to see the answer

Q: 10. A salesperson living in city A wishes to visit five cities B, C, D, E, and F. a. If the cities…

A: Click to see the answer

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: 11. A pizza parlor has three types of crust, 8 different toppings, and two different cheese blends…

A: Solution: 11. From the given information, a pizza parlor has three types of crust, 8 different…

Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: A club with 5 members is to choose 3​ officers: ​ president, vice-president, and​…

A: Click to see the answer

Q: On my bookshelf I have 5 books of poetry, 15 graphic novels, 8 biographies and 3 self-help books. I…

A: Solution :-

Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: The Restaurant Association sponsored a Taster's Choice evening in which restaurants set up booths…

A: The matrix equation is 121111311MWC=634414694 where M is for men served, W is for women served and C…

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

A: Click to see the answer

Knowledge Booster
Recommended textbooks for you
  • Advanced Engineering Mathematics
    Advanced Math
    ISBN:9780470458365
    Author:Erwin Kreyszig
    Publisher:Wiley, John & Sons, Incorporated
    Numerical Methods for Engineers
    Advanced Math
    ISBN:9780073397924
    Author:Steven C. Chapra Dr., Raymond P. Canale
    Publisher:McGraw-Hill Education
    Introductory Mathematics for Engineering Applicat...
    Advanced Math
    ISBN:9781118141809
    Author:Nathan Klingbeil
    Publisher:WILEY
  • Mathematics For Machine Technology
    Advanced Math
    ISBN:9781337798310
    Author:Peterson, John.
    Publisher:Cengage Learning,
    Basic Technical Mathematics
    Advanced Math
    ISBN:9780134437705
    Author:Washington
    Publisher:PEARSON
    Topology
    Advanced Math
    ISBN:9780134689517
    Author:Munkres, James R.
    Publisher:Pearson,
  • Advanced Engineering Mathematics
    Advanced Math
    ISBN:9780470458365
    Author:Erwin Kreyszig
    Publisher:Wiley, John & Sons, Incorporated
    Numerical Methods for Engineers
    Advanced Math
    ISBN:9780073397924
    Author:Steven C. Chapra Dr., Raymond P. Canale
    Publisher:McGraw-Hill Education
    Introductory Mathematics for Engineering Applicat...
    Advanced Math
    ISBN:9781118141809
    Author:Nathan Klingbeil
    Publisher:WILEY
    Mathematics For Machine Technology
    Advanced Math
    ISBN:9781337798310
    Author:Peterson, John.
    Publisher:Cengage Learning,
    Basic Technical Mathematics
    Advanced Math
    ISBN:9780134437705
    Author:Washington
    Publisher:PEARSON
    Topology
    Advanced Math
    ISBN:9780134689517
    Author:Munkres, James R.
    Publisher:Pearson,