How many six-person volleyball teams be made from a group of ten men and three women if: a.There is no sex discrimination? b.The team must contain at least two women?

Q: A survey of 400 small businesses indicates that 320 own photocopiers, 105 own fa machines, and 90…

A: There are total of 400 small business. 320 owns photocopier. 105 own fax machines. 90 own…

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: A survey of 1200 people in a certain city indicates that 870 own microwave ovens, 750 own DVD…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so…

A: Given:       Number of nights in which no two nights have same group of 4 men…

Q: a) How many students took History & Math or took Math & Psychology? b) How many students took…

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Q: o How many ways six persons can stand in a line such that two specific persons do not stand close to…

A: six person want to stand in line and two specific not want to stand close to each other. we have to…

Q: If any seven digits could be used to form a telephone number, how many seven digit telephone numbers…

A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

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

A: The number of ways can a committee of five men is 6C5.The number of ways can a committee of four…

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: (a) How many different committees of size 3 can be formed from 14 people? (b) From the 13 albums…

A: a) Given, No of people(n)=14 size(r)=3   How many different committees can be formed.

Q: a) How many students are not taking English & Dance or are taking English & Psychology? b) How many…

A: Note: As per Bartleby's instruction when more than three questions asked in a subpart only three…

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

Q: 1. How many attended only the FSU-Butler game? 2. How many did not attend the Marist, Butler, or…

A: Given that the total number of people is 445. To find: Number of people who attend only FSU-butler…

Q: 1. A team of 17 softball players needs to choose three players to refill the water cooler

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Q: a. How many different ways can the officers be appointed?

A: Given that  A corporation must appoint  A president , Chief executive officer (CEO) , Chief…

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: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: From a group of 10 men and 12 women, a 10-member committee is formed. In how ways can the committee…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: 1. In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5…

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Q: a. how many obtained news from television but not from newspapers or the Internet? b. how many…

A: a. From the Venn diagram there are 232 household obtained news from television but not from…

Q: In how many different ways can 17 faculty members form a panel consisting of a​ Chair, a Vice​…

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Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 16 and 23…

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…

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Q: The human resources director for a commercial real estate company received the following numbers of…

A: Given: Applicants with sales experience are 58 Applicants with college degree are 31 Applicants with…

Q: 1. How many attended only the FSU-Butler game? 2. How many did not attend the Marist, Butler, or…

A: From the provided information we have the Venn diagram as, From the given information we have, a+…

Q: how many diffrent seating arrangements are possible for king arthur and his 12 knights around their…

A: The number of ways, n items can be arranged around a circular table is equal to (n-1)! . The formula…

Q: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: If n(A) = 9, n(B) = 12, and n(ANB) = 5, what is n(AUB)?

A:

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

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Q: In a survey of 359 people, a pet food manufacturer found that 23 owned a dog but not a cat, 140…

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Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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Q: A committee of size 5 is to be chosen from a group of 6 men and 7 women. (a) How many different…

A: Given that 6 men and 7 women. Total people = 6 + 7 = 13

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: How many different flag signals, each consisting of 7 flags hung vertically, can be made when there…

A: Given: Total number of flags = 7 Number of red flags = 3 Number of blue flags = 2 Number of white…

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: The Venn Diagram below shows the number of students being surveyed. DRUM GUITAR 21 10 19 10 1. How…

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Q: In Mr. Bunnelo's class, 19 out of 26 students wore their school shirt on Friday. If the school has a…

A: Given that on Friday, 19 out of 26 students wore their school shirt . We need to find how many…

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: In how many ways can a PICE chapter with 30 directors choose a president, a vice president, a…

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Q: In how many ways can a group of eight persons arrange themselves around the circular table?

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

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

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

Q: In how many ways can 10- different-colored horses be positioned in a carousel? 504 O 4,032 O 362,880…

A: Given that  In how many ways can 10 - different -colored be positioned in a carousel  Positioning in…

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

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

A: