A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?

A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 32RE: In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How...

See similar textbooks

Related questions

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

Q: In an office of 18 people, there are 7 men and 11 women. A subcommittee of four people will be…

A: Given: total = 18 members Number of men = 7 Number of female = 11

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: How many ways can five people A , B , C , D and E sit in a row at a movie theatre if D and E will…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A shop sells roses in 3 colours (red, white, yellow) and orchids in 4 colours (white, purple, blue,…

Q: In how many ways can a boy arrange his 5 different toys in a row?

A: Given that : To find In how many ways can a boy arrange his 5 different toys in a row?

Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are 8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: How many combinations can the seven colors of the rainbow be arranged into groups of three colors…

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: See the attachment

Q: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: How many ways can you arrange 6 of 11 different books on a shelf?

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: A dog shelter is giving away 16 different dogs, but you have room for only 4 of them. How many…

A: Given, Number of different dogs given by shelter =16 There is exactly 1 room that can accommodates…

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

A: We have to find the number of ways that can an adviser choose 4 students from a class of 12 if they…

Q: How many ways can a committee of four people be chosen from a group of eight people?

A: Given data, Total number of people = 8 People select for committee = 4

Q: how many ways can you arrange 4 objects from a set of 15 objects?

A: From the provided information, A set contains 15 objects from which 4 objects will be arranged.

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen TO FIND : Number of ways a cricket team formed…

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

Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: You have 5 Math books, 2 History books, and 4 Science books. How many ways are there to arrange the…

A: If there are n number of distinct objects out of which r objects are selected and then arranged then…

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3 Total shoes =4

Q: How many different ways can a group of 5 students line up to get ice cream?

A: This is type of permutation question, because here the order of placing the people in the place…

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: You have 7 purple corn kernels, and 2 yellow corn kernels. (a) If you line them up in a row, how…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

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: How many ways can the positions of president and vice president be assigned from a group of 8…

A: There are two positions (i) President (ii) Vice president One person can hold only one position. So,…

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

Q: A complete meal is composed of 1 cup of rice, 1 viand, 1 glass of drinks and 1 dessert. If there are…

Q: In a bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

Q: A school dance committee is made up of 2 freshman, 5 sophomores, 2 juniors, and 5 seniors. How many…

A: Given Data- A school dance committee is made up of: Freshman =2 Sophomores = 5 Juniors = 2 Seniors =…

Q: How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes, in…

A: a. Four piles of 13 cards are needed to be selected. First 13 cards can be selected from 52 cards…

Q: In a class there are 20 female students and 10 male students. In how many ways a volunteer group can…

Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: how many ways can a group of 4 boys be selected from 9 boys?

A: We have to select 4 boys from 9 boys

Q: How many different committees can be formed from 11 teachers and 48 students if the committee…

A: a) answer = (11C3)*(48C2) = 165*1128 = 186120 Therefore, 186120 committees can be possible with 3…

Q: How many different committees can be formed from 6 teachers and 46 students if the committee…

A: Given information- We have given that we have to form a committee of 5 teachers from 6 teachers and…

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: You baked seven cupcakes of different flavor. In how many ways can you give two cupcakes each to…

A: Here Given Total No of cupcakes=7 No of given to each friends=2 No of cupcakes keep with himself=1

Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

Q: How many different ways can a visiting nurse visit 10 patients if she wants to visit them all in one…

A: A visiting nurse can visit 10 patients in 10! ways in one day.

Question

A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans.

(a) How many groups of 4 jelly beans include exactly 1 of each color?

(b) How many groups of 4 jelly beans include at most 1 yellow?

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

Similar questions

How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the team?
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?
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?
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?
A coin club has five members. In how many different ways can there be a president and a vice-president?
A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink. If there are four main courses, three desserts, and six drinks to pick from, in how many ways can a customer select a meal consisting of one choice from each category?
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?