Answered: In how many ways can a committee of 5…

Math

Probability

In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 46SE: How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and...

See similar textbooks

Related questions

Q: Solve the problem using combination formula. 1. In how many ways can a committee of 5 be formed from…

A: Dear student , Here two questions have been asked, hence the solution of the first one is given…

Q: A casting director wishes to find one male and one female to cast in his play. If he plans to…

Q: How many ways can 3 female students and 4 male students be seated on a long bench if the bench can…

A: To accommodate 3 female students and 4 male students, there are so many possibilities like all the…

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: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: For each situation below, identify whether it is a permutation or combination problem and then find…

A: Permutation relates to the act of arranging all the members of a set into some sequence or order.…

Q: It's all about COMBINATION. - A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how…

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: There are 16 seniors and 20 juniors in a particular social organization. In how many ways can 2…

Q: Bryan had some apples. He put 1/3 of the apples and another 4 into basket A, 1/3 of the remaining…

A: Let Bryan had x apples. He put 1/3 of the apples and another 4 into basket A, i.e. x3+4 apples in…

Q: How many ways can all the dogs be lined up for a photograph, if all the dogs of a similar breed must…

A: Hi thank you for the question. As you have requested solution for the last 2 subparts, we'll answer…

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A: Given that In how many ways can two admirals, three generals, and four lieutenants can be seated in…

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: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

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: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

Q: You had 7 fun activities planned for your vacation, but now you have time to only enjoy 3 of them.…

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

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

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

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

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: How many ways can 7 people be assigned to 1 triple and two double rooms? If only 6 persons will be…

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are 6 subcompact cars, 6 compact cars and 5 midsize cars. pick 2…

Q: I am going to give my 4 nephews and 1 niece some candies. I have a box of 63 similar candies, and I…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

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: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. How…

Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: A Former gets 23.6 milk from each of his cows per day. He milks all four cows and pours the milk…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: In how many ways can this be done if at least two of the committee members must be senator?

Q: How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only…

A: The number of pizza toppings chosen is 2 and the total number of toppings is 20.

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

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: 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: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: How many ways can a photographer arrange 10 friends in a row for a photo if two of the friends are…

A: Given information We have to arrange 10 friends in a row and two friends doesn’t wants to sit…

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that A jury of 12 people is to be chosen from 10 men and 12 women.

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 2 children and 5 adults be seated in a row if the children must be seated at…

A: Given that there are 2 children and 5 adults.

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: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A: According to the question number of combination are

Q: In a class of 16 students, there are 6 male students and 10 female students. In how many ways can…

A: Note: Since, you haven't mentioned. For which question you would like to get answered. Here we are…

Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

It's all about COMBINATION

- In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

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

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 4 men and 4 women stand in line if all the women are first?
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 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?
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?
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?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the team?
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?
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?
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?
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?