When the members of a family discussed where their annual reunion should take place, they found that out of all the family members, 11 would not go to a park, 9 would not go to a beach, 11 would not go to the family cottage, 5 would go to neither a park nor a beach, 5 would go to neither a beach nor the family cottage, 7 would go to neither a park nor the family cottage, 3 would not go to a park or a beach or to the family cottage, and 2 would go to all three places. What is the number of family members? There are total family members. (Simplify your answer.)

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

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A: In mathematics, a permutation of a set is, loosely speaking , an arrangement of its members into a…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A:

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A:

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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: A survey of 145 computer science students reveals that 80 own desktop computers, 95 own laptops, 30…

A: Assume number of students who has  desktop = d number of students who has laptops= l number of…

Q: Suppose that in a certain association, there are 12 elected members of the Board of Directors. In…

A:

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A: Here Total = 200 29 do not like any subject. So now total = 171 It can be solved by venn diagram…

Q: At an assembly, 8 out of the first 20 students who entered the gym were wearing grey shoes. Based on…

A:

Q: How manly liked apples only? How many liked bananas only? How many liked cantaloupes only? How…

A: HERE from given information  define events A = students like apple B = student like banana C=…

Q: here are 25 students asked by their literature instructor regarding with the type of literary works…

A: nN∪S∪P=nN+nS+nP-nN∩S-nS∩P-nN∩P+nN∩S∩P where N is the n umber of students who prefer novels  S is the…

Q: There are 5 different roads from City A to City B, 2 different roads from City B to City C and 3…

A: Permutation and combination are one of the important concepts of probability. In permutation and…

Q: If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee…

A:

Q: ) without restrictions? b) if Aamir, must be on the left end and Zeba must be on the right end? c)…

A: Here as PER POLICY I HAVE CALCULATED FIRST 3 SUBPART

Q: Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

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Q: In a survey of a TriDelt chapter with 50 members, 24 were taking mathematics, 32 were taking…

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

Q: There are 20 seniors serving the student council of a certain school. Of the 20, 3 have not served…

A:

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A:

Q: 10. Of the 200 candidates who were interviewed for a position at a call center, 100 had a…

A: See the attachment

Q: A troupe of  12  dancers is going to line up on stage. Of these dancers,  6  are wearing black and…

A: By using the knowledge of permutations we can solve the problem.

Q: From a student group of 70, 26 people play basketball, 36 people play football, 31 people play…

A: Union of Two Sets: For any two sets A and B, union of A and B, written as A∪B, contains the elements…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

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

Q: When a group of colleagues discussed where their annual retreat should take place, they found that…

A: Let A represent the colleagues who would not go to a park. Let B represent the colleagues who would…

Q: In a survey of students about favorite sports, the results include 21 who like tennis, 31 who like…

A:

Q: A camp counselor and four campers are to be seated along a picnic bench. And how many ways can this…

A: given, A camp counselor and four campers are to be seated along a picnic bench. No of ways of…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

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Q: If 3 representatives from Company A, 4 representatives from Company and 2 lawyers (from a different…

A: Given data , 3 representatives from Company A , 4 representatives from Company B , 2 lawyers from (…

Q: A survey of 101 college students found that 18 take only algebra, 21 take only statistics, 25 take…

A: The Venn diagram for the given information is,

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

Q: A collection of eight blue blocks and seven red blocks, all with distinct shapes, are to be lined up…

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Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A: Given: Shorthand representation NP= Not go to the park NB= Not go to the beach NC= Not go to the…

Q: A class survey found that 28 students watched television on Monday, 25 on Tuesday, and 24 on…

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Q: A survey of 275 adults found that during the last year, 70 traveled by plane but not by train, 40…

A: Introduction:Denote the following events for the different modes of travel:P: Plane,T: Train,B:…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: We can solve it using Venn diagram

Q: In a survey of 91 ​people, 25 reported that they read the Star newspaper and 34 reported that they…

A: the problem is base on inclusion and exclusion principal of sets let n(A) denote the numbers of…

Q: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A: Let us consider A , B, C be three sets then  Some Properties of the set theory n(only…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A:

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

A: Number of third year students qualified to join the contest = 5 Number of fourth year students…

Q: From a group of 18 customers, 4 are to be chosen to receive a special gift. Assuming that the order…

A: The number of groups of 4 customers can be chosen is,

Q: If dining time is 60 minutes, the lounge seats 48, and there are 180 dining-room seats, then the…

A: The second option is the correct choice. Use the queuing model to find the turning time for every…

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A:

Q: Suppose an organization elects its officers from a board of trustees. If there are 52 trustees, how…

A: Given: Number of trustees = 52 Board has to elect a president, vice-president, secretary, vice…

Q: In a group of 350 tourists, the following facts are known: 75 are going to Islamabad, 80 are going…

A: According to given information, Venn diagram will be:

Q: Suppose that there is a proposal on campus involving the bus schedule, in which students were asked…

A: 50% favored Saturday service 57% favored late-night service 30% favored both.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.