(i) CarLand is a car dealership with 22 sales staff. They decide to select 8 staff to be trained as electric car specialists. How many different sets of 8 staff can they select for training? (ii) CarLand's staff work in two shifts, with 11 people on each shift. Each staff member always works the same shift. CarLand decide that they need to have 4 electric car specialists in each shift. How many different sets of 8 staff can they select for training now? (iii) If instead CarLand decide that they need only have at least 3 specialists in each shift, but still want 8 specialists in total, how many different sets of 8 staff can they select for training now?

(i) CarLand is a car dealership with 22 sales staff. They decide to select 8 staff to be trained as electric car specialists. How many different sets of 8 staff can they select for training? (ii) CarLand's staff work in two shifts, with 11 people on each shift. Each staff member always works the same shift. CarLand decide that they need to have 4 electric car specialists in each shift. How many different sets of 8 staff can they select for training now? (iii) If instead CarLand decide that they need only have at least 3 specialists in each shift, but still want 8 specialists in total, how many different sets of 8 staff can they select for training now?

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

Similar questions

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics. Because Polly is registering early, she has 13 choices for her section of Statistics, 15 choices for her section of Composition, and 20 choices for her section of Ethics. From how many possible schedules can Polly choose?
the rhineland pastry chain will open a new branch in Osorno; So far they have 10 applicants for the three work areas: cashier, packer and cleaning staff. How many ways can they be hired to fill the three different jobs?
Carmine is creating a schedule for five key presenters who will be speaking to students on career day. They have hired a doctor, an engineer, a pilot, a lawyer, and an accountant. What is the number of possible arrangements if the engineer must speak after the lawyer?
If there are four (4) students namely: Sonia, Yumi, Rin, and Eggy. How many different seating arrangements in a bench can be made considering all the students at a time, if Sonia must always be first and Eggy can never be last?
Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
An advisory committee is being formed for a new project at a company. The committee has 6 identical positions to be filled. The committee is to consist of 2 people chosen from the Research and Development Department, which has a total of 12 employees, and 4 people from the Marketing Department, which has a total of 20 employees. How many total possible advisory committees could be formed from these choices?
For dinner there are two choices of fish (salmon and haddock), three choices of rice (brown, jasmine, or pilaf), and four types of vegetables. How many different meals can be made with one fish, one rice, and one vegetable?
Based on your decisions from the previous problem, find the correct number of possible options for each situation. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. Wilbur has homework assignments in seven subjects. He only has time to do five of them. The batting order for 9 players on a team of 11 players. A class of 20 students needs to elect 4 student council representatives.
Suppose you want to select two types of snacks and one drink in a coffee shop. There are 5 choices of snacks and 10 types of drinks to choose from. If you don't want to pick the same snack twice, how many different combinations of 2 snacks and 1 drink could you have? Note, we consider the order of choosing snacks does not matter.
the number of places you can visit for dinner, if you have three different places to eat Chinese food; three for Italian food and five for typical salvadoran food.
The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 6 different CD players, 10 different receivers, and 9 different speakers. Assuming a sound system consists of one of each, how many different sound systems can he advertise?