In how many ways can 9 member of the family be seated in a round table with 7 chairs?

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 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

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

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

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: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: 8. In how many ways can a committee of three faculty members and two student selected from seven…

A: We have to make a committee of three faculty members and two students. We have to select from seven…

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

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

A:

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

A:

Q: 7. In how many ways can seven men and six women be arranged in a row so that the women occupy the…

A: Given, In an arrangement,Total men=7Total women=6 To find: Total ways of arrangement so that women…

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

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: In how manyways can 7 honorable people be seated in a round table?

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 9. In how many ways can a committee of 5 persons be chosen from 7 ladies and 9 men if there is no…

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

A:

Q: In how many ways can you sit 8 people on a round table (a) if there are no restrictions? (b) if two…

A: Given: Total number people = 8

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: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

A:

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

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

A:

Q: In how many different way can a person choose 2 desserts from a menu of 12

A:

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

A:

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

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

A: Given: Number of applicants to be chosen from 7 applicants are 2. Number of applicants to be chosen…

Q: In how many ways can a group of 6 students be selected from 7 students?

A:

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

A:

Q: 4. In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play…

A: The number of men who can play any of the positions is, n = 8 The number of starting positions on a…

Q: 9. In how many ways can three boys can be seated on five chairs?

A: In question, We'll find the ways in which three boys seated on five chairs. The solution is below,

Q: 8. In how many ways can 4 girls and 5 boys sit in a row if the boys and girls must alternate?

A: (8) Number of girls = 4 Number of boys = 5 The arrangement of boys and girls must sit alternate in a…

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

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: In how many ways can 10 people be seated around a circular table?

A: Permutation of n person sitting in a straight line is given by n! Since for person sitting on…

Q: 1. In how many ways may 4 people be seated in a row of 10 chairs? 2. In how many ways can a point…

A: HERE use permutation and combination

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

A: The objective is to find the number of ways that the judges can select a winner and a runner-up from…

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

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: In how many ways can 9 individual be seated in a row of 9 chairs

A: 9 individuals are needed to be seated in a row of 9 chairs.

Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

A:

Q: 5. In how many ways can 7 boys be seated in a circular order?

A:

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: 2. Ten frontliners are going to get their meal. In how many ways can the 10 frontliners be arranged…

A: (2) Ten front liners are going to get their meal. In how many ways can the 10 front liners be…

Q: in how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: A committee of 9 students.

Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…