Line up At the beginning of class, Charise's teacher makes a special offer. She will dismiss the class early if they can make all possible arrangements with the 15 students in the class in a single-file line. How many such arrangements are there? Should the class take the offer? Explain.

Line up At the beginning of class, Charise's teacher makes a special offer. She will dismiss the class early if they can make all possible arrangements with the 15 students in the class in a single-file line. How many such arrangements are there? Should the class take the offer? Explain.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

See similar textbooks

Related questions

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: A class has 32 students. 18 have hats, and 17 do not wear glasses. 5 students wear glasses but do…

A: We use ven diagram to solve this problem.

Q: families

Q: Question: How many unique sequences of 3 symbols that can be formed from 9 symbols? Answer:…

A: Given that there are total number of 9 symbols. A unique sequence of three symbols have 2 or 3…

Q: Paul has 5 books to place on a shelf. How many possible arrangements of all 5 books are there?

A: given data 5 books to place on a shelf. no. of possible arrangements of all 5 books = ?

Q: A student is buying single-serve breakfast meals for the next 10 days. The options are meat bowl,…

Q: On the final day of their class trip to Washington D.C. , Mr. Parke let’s his students choose what…

A: A fraction is a number in the form xy (where x and y are both integers and y ≠ 0). In the above…

Q: A theater has 22 rows of seats. The first row has 17 seats, the second row has 21 seats, the third…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The greens are moving. Their real estate agent located 77 houses listed for sale in their price…

A: Let 'A' be the event had a finished basementand 'B' be the event had a three car garage .given ,…

Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

Q: They need to divide up the money received evenly between their two cash registers to be ready for…

Q: On the first month of gardening, Laurice has only two plants in her backyard. After 3 months, there…

Q: Tim and Tom are both members of the school's 10 person cross-country team. The team is told to line…

A: Given : Tim and Tom are both members of the school's 10 person cross-country team. The team is told…

Q: We want to select 3 customers form a group of 8 customers to give each one a gift. How many possible…

A: Combination: It is nothing but the selection of objects where the order of selection is not…

Q: Jose has 52 coins among which there are only nickels and pennies. If the value of the coins is…

A: We can use simultaneous equations in order to solve the given problem.

Q: Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife…

A: Every salad and every dessert should be considered as a different dish here.

Q: Charmaign’s daughter has $12.00 she wants to spend on comic books and superhero cards. Comic books…

A: Given that the total amount to be spent is $12, cost of each comic book is 6 cents is $0.06 and cost…

Q: A teacher is organizing a seating plan for the students in the first row. The first row has either…

A: As per given by the question, Teacher organizing the seating plan for student in the first row and…

Q: Twelve people are to have their picture taken as a group. How many arrangements can there be if Mary…

A: Twelve people are to have their picture taken as a group.Mary has to be first in line and Tim last…

Q: Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class…

A: Given that Mr Regpala needs the help of 6 students from the class to help him move some supplies…

Q: am has five entrants in a men’s ski event. The coach would like the 1st, 2nd, and 3rd places to go…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: A theater has 23 rows of seats. The first row has 20 seats, the second row has 22 seats, the third…

A: find explanation below

Q: Amanda wants to host a party. She invites 3 friends and tells them to invite 3 of their friends. The…

A: Given Amanda invites 3 friends and they invite 3 friends and process go on 5 times

Q: You have been asked to set up chairs for the school concert. The first row will have 10 seats, and…

Q: ill has 11 shirts and 6 pairs of pants. Assuming that everything matches, how many different outfits…

A: Answer - Jill has 11 shirts and 6 pairs of pants. Assuming that everything matches,…

Q: Jennifer took clothes to the cleaners three times last month First, she brought 3 shirts and 1 pair…

Q: Find the seating capacity of a movie house with 40 rows of seats if there are 25 seats in the first…

Question

7.
Line up At the beginning of class, Charise's teacher makes a special offer.
She will dismiss the class early if they can make all possible arrangements
with the 15 students in the class in a single-file line. How many such
arrangements are there? Should the class take the offer? Explain.

Expert Solution

Step 1

The objective is to obtain the no. of possible arrangements that can be made with 15 available students in a single-file line.

Considering for $n$ available objects, the no. of ways the objects can be arranged, provided that the order of the objects is taken into account is given as: $n! = 1 \times 2 \times 3 \times . . . \times (n - 1) \times n$ .

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

To allocate annual bonuses, a manager must choose his top four employees and rank them first to fourth. In how many ways can he create the ‘Top- Four” list out of the 32 employees?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
In how many ways can 5 people stand in a line if one person demands to be first?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
How many ways can 4 men and 4 women stand in line if all the women are first?
Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?
Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?
How many distinguishable words can be formed from the letters of the word casserole if each letter is used exactly once?