Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of more than one class. If a team is to be composed of one student from each of these three classes, in how many different ways can the members of the team be chosen?

Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of more than one class. If a team is to be composed of one student from each of these three classes, in how many different ways can the members of the team be chosen?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose we divide a group of 100 drivers into three groups. In a given year, 40 of those people have…

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from a coin pouch . In a pouch we have given that there are 4…

Q: Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how…

A: Answer :- A) the nine candidates can be lined in =9! Ways B) Answer :- I take DDDDDDRRR is 9C6…

Q: Two hundred people each purchased one raffle ticket. Three winning tickets are randomly selected. If…

Q: Suppose there are 120 students in a veterinary school. There are 49 students that have a dog, 56…

Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

Q: A box contains two black balls, labeled 1 and 2, and five white balls, labeled 3, 4, 5, 6, and 7.…

A: One person to get the both balls by 2 different ways

Q: A school chess team has six members, one of which is the team captain. If they are to compete in 6…

A: So in the given problem we have 6 members who will be playing chess on 6 boards simultaneously. But…

Q: Most of the men of Delta Omicron Gamma play team sports, mostly on intramural teams but several on…

A: Let A denotes the number of players who play Basketball = 16 B denotes the number of players who…

Q: A family has nine children. If this family has exactly five boys, how many different birth and…

A: Given,A family has 9 childrens

Q: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A essay-writing contest offers a $1000 prize for first place and a $250 prize for second place. If…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: A baseball team has 13 possible batters. How many batting orders ofnine players can be made, such…

A: Ans-In this question we are given baseball team has 13 possible batters. and we want to find how…

Q: A laboratory cage contains eight white mice and six brown mice. Find the number of ways of choosing…

A: Given problem is : A laboratory cage contains eight white mice and six brown mice. Find the number…

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: A housing development offers homes with four different options. The homes were built with one choice…

A: There are 3 choices for bedrooms 3 choices for bathrooms 2 choices for floors 2 choices for yards…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee from the group of 20 people will be:

Q: A club consists of three men and six women. In how many ways can this club elect a president, vice…

A: 1. **Choosing the President**: There are 3 men in the club, so there are 3 choices for the position…

Q: A marching band consists of 11 pipers and 12 drummers. Three of them are selected to march in order…

A: The number of ways in which n different objects can be arranged is given by n!, where…

Q: Derek, Abdul, Bernard, and Suzie are playing hide-and-seek and taking turns being 'it'. In how many…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

Question

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A co-rec team to play in an intramural tournament of indoor soccer should consist of three men and three women. There are five men and ten women to join that team. Within the fifteen people there is a husband and wife. In how many ways can that team be selected if it must contain either the wife or the husband but not both?
A company needs to create three new departments and there are seven managers competing to run these departments. In what ways can three new leaders be appointed?
In a group of 35 music students, 16 students play an instrument, 16 students sing, and 19 students dance. Furthermore, 5 students both play and sing, 7 students both sing and dance, 6 students both play and dance, and 2 students do all three. How many students are engaged in neither of the three activities?
Three rooms in a university residence contain three beds, two beds, and five beds, respectively. In how many ways can ten students be assigned to these rooms?
If there are 11 employees in a club, in how many ways can they choose a dishwasher and a bouncer?
Four members from a 36-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible?
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
The University of Ballygobackwards has three colleges: the College of Science, which has 15 staff, 5 of whom are female; the College of Engineering, which has 8 staff, 4 of whom are female; and the College of Arts, which has 17 staff, 6 of whom are female. Each college has a Dean, who is chosen from the staff in that college. What is the total number of ways these three Deans can be chosen? Answer: How many ways can three Deans be chosen, so that at least one of them is female? Answer:
From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many different seating arrangements are possible if: i. at least 3 men must sit down? ii. Both John & Jack sit down, but not next to each other?
In a UC student club, a president and treasurer are to be chosen consisting of 45 people. a. How many different choices of officers are possible if there are no restrictions? b. How many different choices of officers are possible if A will serve only if he is president? c. How many different choices of officers are possible if B and C will serve together or not at all. d. How many different choices of officers are possible if D and E will not serve together?