o How many ways six persons can stand in a line such that two specific persons do not stand close to each other?
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 certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…
A: Since you have asked multiple subparts, we will solve the first three subpart questions for you. If…
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: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…
A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.
Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…
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Q: from a committee of 10 persons in how many ways can we choose a chairperson, a vice chairperson, and…
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Q: 10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: O 4: O 1: nchroom has 12 tables and 108 chairs. tables : chairs
A: There are 12 tables and 108 chairs in a lunchtable. The ratio of tables and chairs,…
Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…
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Q: In how many ways can the car be ordered?
A: Given : n1 = number of colour = 8 n2 = number of styles = 2
Q: In how many different ways can 6 people be seated in a straight line if two of them insist on…
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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: (b) Every student in a discrete math class is either a computer science or a mathematics major or is…
A: The union of events A and B is defined as n(A ∪ B) = n(A) + n(B) – n(A ∩ B).
Q: In how many ways can a group of five girls and five boys be lined up so that: (a) all the girls…
A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…
Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…
A: Total persons = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…
Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…
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Q: (a) by any door, (b) by different door?
A: Here use combination for no of ways person can leave and enter from desk
Q: 5. If there are 13 people and only 6 chairs are available. In how many ways they can be seated? A.…
A: The number of people is 13 and the number of chairs available is 6.
Q: 2. Why was John White unable to conduct a thorough search for the colonists of Roanoke on Croatoan…
A: Why was john white unable to conduct a thorough search for the colonists of roanoke on croatoan…
Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…
A: A automobile race contains 15 racecars.
Q: In how many ways can 7 people A, B, C, D, E, F and G be seated at a round table so that no two of A,…
A: As we know that no. of ways 'n' people can be seated around a round table = (n-1)!
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: Admitted strangers into their home Did not admit strangers into their home Urban dwellers 50 100 150…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: 1. In how many ways can you seat four adults and seven children along one side of a rectangular…
A: A rectangular table has 4 sides One side of the rectangle table can be chosen in C1 = 4!1!*3!=44…
Q: Out of 420 people in a club, 40% of them are over 30 years old.Of the people under 30 years of age ,…
A: Please refer the attached image for complete solution.
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: 15 Eight people, of whom P, Q, and R are three of them, arrange themselves in a straight line. In…
A: A. 8 people can be arranged in a row by 8! ways Let P and Q are together then the number of ways to…
Q: In how many ways can a Riders Org. chapter with 30 directors choose a president, a vice president, a…
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Q: A?,B,?sufficient
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Q: How many times must a jogger run around circular 1/4 - mile track in order to have run 3 1/2 miles ?
A: To find the number of times that a jogger must run
Q: 3. There are 5 doors in a Lecture Hall. In how many ways a student can enter the room through one…
A: Total number of doors in the lecture hall=5
Q: 11. In how many ways can 2 children and 5 adults be seated in a row if the children must be seated…
A: Given: 5 Adults and 2 childrens To find :…
Q: A club consist of three men and seven women. in how many way can this club elect a president, vice…
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Q: 8. How many ways are there to seat four of a group of ten people around a circular table where two…
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Q: in how many different ways could Dopey not be between Grumpy or Sleepy
A: Grumpy is second from the right and Sleepy is third from the left. Total positions where Dopey can…
Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…
A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2
Q: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…
A: As per guidelines expert gave to answer first question only
Q: 26. A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to…
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Q: 10 assume that the number of production defects is 26 and that 12 of these are classified as major…
A: Given data, Number of production defects = 26 Number of major defects = 12 Number of design defects…
Q: Assume that there are 70 students: 36 who enjoy tennis, and 13 who enjoy swimming but not tennis.…
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Q: b) two or three persons will make a purchase?
A: Here given 8 persons enter to super market From past data 25% of entered people make purchase Here…
Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…
A: 8 men and 5 women are required to be arranged in a line in such a way that no women should come next…
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: n a class of 280 first year students, 65 study only Spanish, 100 study Chemistry, 175 study…
A: Given: There are 280 students in a first year class. 65 students study only Spanish. 100 students…
Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…
A: Given , In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…
Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…
A: A question is given with 3 parts. The solution is given below.
Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…
A: Given, 4 Mothers and 5 Children
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 you assign offices to all faculties that agree with their
A: Here given, academic building consists of 3 floor each floor consist total 10 offices out of which 3…
Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT…
A: Given problem:- In how many ways can ten people be seated around a circular table if three of them…
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