1. The Rotary Club and the Jaycess Club had a joint Christmas party. 120 members of the Rotary Club attended and 100 members of the Jaycees Club also attended but 30 of those who attended are members of both clubs. How many persons attended the Christmas party?

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: n a survey of a TriDelt chapter with 50 members, 19 were taking mathematics, 34 were taking English,…

A: Total members who are taking only mathematics can be calculated as: = 19-6 = 13 Total members who…

Q: Of the eighth graders at the Paxton School, 15 played basketball, 9 played volleyball, 10 played…

A:

Q: 1/5 of a class study english and 3/5 study math. If the class consists of 80 students, how many…

A: In this question we need to find out how many students study English and math in the class. total…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: There are 12 athletes joining the Marathon therefore the places can be chosen as follows: The first…

Q: 12. There are 10 members on the board of directors for the Kaweah Delta Hospital. If they must elect…

A: The permutation formula is

Q: Assume that the committee has 14 members, and that 4 different members are to be given special…

A: We have to find probability..

Q: Given the Venn diagram above, determine the following: 1. How many people enjoyed all sports? 2. How…

A:

Q: 19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how…

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Q: 7) The applicant pool for 6 management trainee positions consists of 7 women and 5 men. a) How many…

A: We have to use formula for combination as nCr = n!/r!(n-r)!

Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…

A:

Q: A woman has 11 close friends. (i) In how many ways can she invite 6 of them to dinner? (ii)  In how…

A: Total number of friends are 11.i Number of ways in which she can invite 6 of them.C611=11!6! 5!…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second,…

A: 1. There are 12 athletes joining the Baguio Marathon Event. First place can be chosen by 12 ways, as…

Q: (a) there shall be 2 members from each class on the committee? (b) there shall be no grade 8…

A: A committee of 6 is to be formed from a group of 6, 8 and 10 grade 8, grade 9, and grade 10…

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: In how many ways can president, vice-president, and secretary be chosen from a group of 20 people,…

A: Ways of selecting some fixed number of people from given set of number is done by simp0le counting.…

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

A: Manila to Pampanga : 2 ways Pampanga to Bataan : 3 ways From Batana to La Union : 5 ways     in how…

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: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: a.How many different groups of candidates can be formed? b.How many different groups of candidates…

A: We have given that the pool of qualified candidates for 6 positions is made up of 10 women and 6…

Q: A crew of apollo 17 consisted of a pilot, a copilot, and a geologist. Suppose that NASA had actualy…

A: From the provided information, There are 8 trained pilots and 5 geologists as candidates for the…

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: 2.27 A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Generalized multiplication rule: The number of ways of performing sequence of k operations is…

Q: 6-a-in how many ways may can five persons line up to get a bus ? B-in how many ways may these same…

A: b)

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: 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: The human resources director received 101 applications from people with the given information. 42…

A: Represent the given data in the sets notation. Total number of applications is 101. nμ=101 Number of…

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly…

A: It is given, The number of students signed up for Chemistry n(C)=22 , The number of students signed…

Q: How many ways can a three-person executive committee (president, vice-president, secretary) be…

A: The number of member on the board of director  =14

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: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

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: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: Use venn diagrams to determine whether the argument is valid or not valid

A: Given: All boy scout serve the country U and person S is a boy scout. Solution: Consider a rectangle…

Q: Of the eighth graders at the Paxton​ School, 10 played​ basketball, 9 played​ volleyball, 10 played​…

A:

Q: If 6 out of 30 people over the age of 100 are male, Ho our of 30 people over the age of 100 are…

A: Given that The number of total people=30 Number of male over aged of 100 =6 Then we have to find the…

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

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

Q: 2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Permutation is a branch of mathematics which deals with the number of ways in which certain objects…

Q: How many of those surveyed: (a) did not wish to travel to any of these destinations?_ (b) wished to…

A:

Q: The Student Engineering Council at a certain college has one representative from each of the five…

A: Given information- We have given that in the Student Engineering Council each engineering majors…

Q: Suppose that thirty-two students signed up for classes during an orientation session. If exactly…

A: Given Total number of students signed up for the classes during an orientation session = 32 Exactly…

Q: 6) The ski club with twelve members is to choose three officers captain, co-captain & secretary, how…

A: To find the number of ways

Q: In a survey of 80 university students, 58 had taken mathematics course, 40 had taken biology course,…

A:

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  How many…

A: As per bartleby guidelines only one question should be answered once, please upload each question…

Q: 1. (a) How many ways can a 3-person subcommittee be selected from a committee of 20 people (b) How…

A: a) Total number of people = 20 We have to pick a subcommittee of 3 people. So the order does not…