86. Arranging a Class Picture In how many ways can ten stu- dents be arranged in a row for a class picture if John and Jane want to stand next to each other and Mike and Molly also insist on standing next to each other?

Q: How many different ways can seven people sit in a row in the last four seats at the concert?( the…

A: There is total 7 people and four seats.

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given,no.of math books=6no.of science books=5no.of english books=4Total no.of books=15

Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

A:

Q: 15 members of a wedding party are lining up in a row for a photograph. (1) How many ways are there…

A: 1. number of ways=15!

Q: B. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Given: Red beads= 2 Blue Beads = 3 Yellow Beads =2   5). Therefore by circular permutations, since…

Q: a) Using all the letters of the word ALBERTA, determine how many distinguishable arrangements begin…

A:

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

A:

Q: A luxury liner has 20 rooms on the upper deck. In how many ways can 5 passengers be assigned to…

A: From the provided information, A luxury liner has 20 rooms on the upper deck. 5 passengers to be…

Q: 23. In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of…

A: Given: In his suitcase, Jack has 3 shirts, 4 pants, 2 socks(pair of socks), and 2 shoes(pair of…

Q: 15. Arun wants to send invitation letter to his 7 friends. In how many ways can he send the…

A: There are 7 friends and 4 servants.We can see that each of 4 servantscan invite each of 7 friends,…

Q: 6 A security guard counted the vehicles in the parking lot of a mall. He counted 119 cars and 98…

A: To determine: Total number of tyres in cars and truck present in parking lot alltogether. Given:…

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

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: 2. In how many ways can you arranged the word SLEEPLESSNESS?

A: Given: SLEEPLESSNESS we want to find how many ways can you arranged the word SLEEPLESSNESS

Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: Using the letters in the word “SQUARE”, How many 6-letter arrangements, with no repetitions, are…

A: In the letter SQUARE, there are 3 vowels. A, U and E   Given that the first letter is a vowel. So we…

Q: In how many ways can 8 students be seated in a row if one particular student must always be placed…

A:

Q: in how many ways can 6 couples be seated at a round table if men and women want to sit alternately​

A: First let the men sit around the round table No of ways = 5*4*3*2*1=120

Q: 7. Compare the number of different arrangements you can make using all the letters in the words RED…

A: RED DEER contains 7 letters in which letters D and R repeat 2 times and E repeat 3 times.…

Q: c) Determine the number of different arrangements that can be formed from the word MATHEMATICIAN.

A: Solution

Q: 7. In how many ways can 4 people be seated in a round table?* 4 16

A: Sitting arrangement.

Q: 39. How many ways can 12 students be seated around a circular table?

A: We need to find, in how many ways can 12 students be seated around a circular table.

Q: 5. An electronic company employed 6 sales representatives and 9 product designers this year in a…

A: We have to find given all no of ways...

Q: In how many ways can 12 people occupy the circular table in a mini theatre

A: given, number of people can occupy the circular table in a mini theatre is 12

Q: 92. DISCUSS: Complementary Combinations Without perform- ing any calculations, explain in words why…

A: We have been given  C(n, r) = C(n, n-r)

Q: 31 In how many ways can 9 math students be seated at a round table? 81 40,320 80,640

A: In how many ways can 9 math students be seated at a round table?

Q: 4. Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A:

Q: 3. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

A:

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating…

A: Given that there are 8 people sitting in a row.The number of people, n=8.

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: 4. How many words can be formed with the letters of the word "IZOLA" with or without meaning? 5. In…

A: As per Bartleby guideline expert have to ans first question only dear student please upload other…

Q: 5. In the confectioners 5 different sundae are sold. A father would like to buy 15 cups of sundae…

A: As per Bartleby's answering policy, we can answer only one question. So here we have solved the…

Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…

Q: black hair or had a whole row to themselves (or both). Of this total, 25 had black hair and 5 were…

A:

Q: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

A: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

Q: How many ways are there to choose a presiden ,vice president, secretary, treasurer, and security…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :…

A:

Q: How many distinguishable ways can 3 people be seated around a circular table?

A: The answer is 3! = 6 different ways of  placing these three people in three distinct positions.

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

A:

Q: 6. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history and 35…

A: Solution : Given that In a class of 100 students, 54 studied mathematics, 69 studied history, 35…

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients…

A: The number of ways that the doctor can visit 8 patients during the morning rounds is,The number of…

Q: 1. Jenny has 36 star-shaped beads and 60 heart-shaped beads. She wants to make bracelets using the…

A:

Q: IV. If 80 persons are introduced to the product, determine the number of person who are expected to…

A: Given: Number of trials (n) = 80 Proportion of people buying the product (p) = 0.60

Q: 198 students wear pretty costumes, 93 students wear traditional costumes. About how many students…

A:

Q: 9.) There are 347 NCAA teams today. a.) How many ways can there be to get the top 10 winners? b.)…

A: GIven, There are 347 NCAA teams today. n = 347     Formulae: Permutation: Prn = n!(n-r)!Where,n =…

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: 13. How many license plates consisting of two letters followed by two number repetition is allowed?

A: To find: the number of number plates.

Q: 8. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

A: Given information: Number of guests (n) = 25  Number of handshakes for each guest = n-1Number of…

Q: (7) A. How many ways can 7 people line up in a cafeteria line? B. How many ways can five people be…

A: