Answered: Nine people are going to travel for a…

Nine people are going to travel for a party in two cars. The larger has 5 seats, and the smaller has four. In how many ways can the party be split up?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 12PT: A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in...

See similar textbooks

Related questions

Q: A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and…

Q: If women represent 53% of a town, and there are 9,805 women in the town, how many people are in the…

A: Let there are total X people in the town.

Q: A boy owns 6 pairs of pants, 9 shirts, 10 ties, and 4 jackets. (a) How many outfits can he wear to…

A: Given data: The given pairs of pants are: P=6. The given number s of shirts are: S=9. The given…

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: Investigative Team The state narcotics bureau must form a 5-member investigative team. If it has 30…

Q: If a girl has 6 skirts, 10 blouses, and 8 pairs of shoes, how many different skirt-blouse-shoe…

A: We need to find the number of total outfits in given situation.

Q: A group of students were asked whether they like Mathematics, Physics, or both. If 456 like…

A: We want to find total number of students.

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are six men and nine…

A: Given that there are six men and nine women and every man must dance the last dance. Here total…

Q: There are 280 students in 20 classes. If the number of students in each class is the same, then how…

A: We have no of students..

Q: At a corporate dinner, five people including the president and vice president are sitting around a…

A: a) If 5 people sit on a circular table then the number of permutations will be 4!=24 b) If President…

Q: When an ice cream shop was founded, it made 37 different flavors of ice cream. If you had a choice…

A: Given- When an ice cream shop was founded, it made 37 different flavors of ice cream. If we had a…

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

Q: On Tuesday, Shanice brought five hats. In Wednesday, half of all the hats that she had were…

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: 2. In your drawer, there are 4 identical pairs of brown socks and 8 identical pairs of green socks.…

Q: An ice cream store sells two drinks in four sizes and has five flavor add ons. In how many ways can…

A: From the provided information, The ice cream store sells two drinks in four size and has five flavor…

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets. How many different outfits can he…

Q: n soccer, a tie at the end of regulation time leads to a shootout by three members from each team.…

A: Given that Number of players available (n) = 11 Players need to be selected = 3 We know that We…

Q: 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag stamps, how many stamps…

A: In question, Given that 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag…

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: From a league of 20 players, we want tô chööse match. A goalkeeper, a captain and 9 players. In how…

A: Given Total number of players=20

Q: A boy owns 10 pairs of pants, 6 shirts, 2 ties, and 9 jackets. (a) How many outfits can he wear to…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A man owns 6 pairs of pants, 7 shirts, 8 ties, and 2 jackets. How many different outfits can he wear…

Q: The 50 members of a club include both the club president and the club treasurer. All 50 members want…

A: Topic- permutations and combinations

Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: 2) Abby is adopting kittens from the pet store. If there are 18 kittens, how many ways can she…

A: In this question we have to find in how many Abby choose two kittens if there are two kitten .

Q: There are nine boys to every seven girls in an introductory class geology course . If there are 368…

A: Simplification

Q: - Kevin divided his marbles equally into 2 bags, Bag A and Bag B. In Bag A, there were 30 more red…

A: This question is related to numbers, ratio and proportion, we will solve it by using the conditions…

Q: A small company that manufactures juggling equipment makes seven different types of clubs. The…

A: here we have to find the number of ways in a juggler can select 4 types of clubs out of the 7 types…

Q: In how many ways can 6 boys and 7 girls sit in a row if the girls and boys must alternate?

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways…

A: As per our policy we can solve only 3 sub parts per question in a post. Kindly repost for remaining…

Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

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: If 135 students love their English class, and 80% more love their math class, then how many students…

A: Given that If 135 students love their English class 80% more love their math class, To find the…

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

A: (i)

Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: There are 12 seniors and 8 juniors in the Mercy College Chess Club. In how many ways can a team…

A: From the given information, There are 12 seniors and 8 juniors in the Mercy College Chess Club.…

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

Q: A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: eam. If you had a choice of having a single flavor of ice cream in a cone, a cup, or a sundae, how…

A: apply combination

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Nine people are going to travel for a party in two cars. The larger has 5 seats, and the smaller has four. In how many ways can the party be split up?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
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?
In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?
Alice and Bill have four grandchild, 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?
Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
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?
Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?
In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasurer be elected?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?
In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?
A skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many different skateboards can be constructed?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?