How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if D and E will not sit next to each other? ... EN О А. 72 О В. 48 Ос. 60 O D. 24

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

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A: In set theory  , the union represents set of all elements in the collection of sets. In union of two…

Q: 29. In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate? *

A: Note that number of boys is more than that of girls. Therefore, the first position of row will be…

Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

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Q: 3. In how many ways can a team of six be chosen from 20 players so as to (a) include both the…

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Q: 36. In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, 5 Filipinos and 2 Italians be seated in…

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

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Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

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Q: 6. In how many ways be 5 couples be seated in a round table if each couple consists of a man and a…

A: 6) Given that,  There are 5 couples and they are to be seated in a round table such that each couple…

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: 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: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

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: 11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (i.e. #11) for…

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: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many…

A: We can find answer to both the question as below

Q: In how many ways can a committee of not more than 3 representatives be selected from a group of 16…

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Q: In how many ways can 3 student, 4 teachers and 4 workers sit in a line if the teachers always set…

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

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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: 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: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

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: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

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Q: 4. In how many ways may the judges in a beauty pageant choose a winner and a first runner-up if…

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Q: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…

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Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: 9. A committee of senior and junior executives will be formed to decide on recruitment issues. If…

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

Q: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

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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…

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Q: 4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow…

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A: A question is given with 3 parts. The solution is given below.

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: toys of the same material type must be grouped together;(B)rubber toys should not be next to each…

A: Here 3 paper toys, 7 rubber toys, and 5 plastic toy so total 15 toys

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: in how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys,…

A: Ans# Given 6 man, 8 women, 4 boys and 5 girls.          How many ways can 2 men, 4 women, 3 boys and…

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

A: Given,no.of mens=11no.of womens=10

Q: (c)        A committee of six is to be formed from nine women and three men. In how many ways can…

A:

Q: In how many ways can a committee of 4 men and 5 women be formed from a group of 12 men and 8 ​women?

A: nCr=n!r!(n-r)!

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

A: