**Problem 5: Combinatorial Selection**Given 20 different types of inputs to a program, determine the number of ways in which 8 of them can be selected under the following conditions:(a) **Order does not matter.**(b) **Order matters.**This problem explores the concepts of combinations and permutations in mathematics, which are fundamental for understanding different ways elements can be selected or arranged.

Answered: 5. Given 20 different types of inputs…

5. Given 20 different types of inputs to a program, in how many ways can 8 of them be selected if (a) order does not matter. (b) order matters.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Suppose that Jeremy is a highschool science teacher and that he is dividing 16 students in his advanced chemistry class into four groups of four for a lab activity. Each of the four lab groups has been assigned its own task to complete for the activity, but the students are not assigned specific roles within the group. How many different ways can Jeremy assign his students to the four lab groups?
Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people, includinga president, a vice-president, and a secretary.(a) How many different ways do you have to pick a president, vice-president and secretary if you need atleast 1 men and 1 women? Does the order matter? Why?(b) How many different committees can you form with at least 3 women? Does the order matter? Why?
A student works in a bookstore where he is required to work at least four and at most five days a week, at least one of which has to be a weekend day (Saturday or Sunday). How many different weekly work schedules can this student have?
(a) A company has 31 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effectiveness. How many such rankings are possible? (b) From the 13 albums released by a musician, the recording company wishes to release 10 in a boxed set. How many different boxed sets are possible
A box has 10 red balls, 10 green balls, 10 blue balls and 10 yellow balls, and for each colour the balls are labelled1,2, ..., 10. Suppose five balls are chosen from the box. (a) How many ways can you choose 5 balls (with no further constraints)? (b) How many ways can you choose 5 balls so that exactly 4 of them are the same colour? (c) How many ways can there be three of one colour and two of another colour.
A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones?
A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?
A company has 19 new employees to train. The training methods consist of computer-based training, televised classes, and traditional classes. The company intends to maximize the number of employees that are trained without the traditional classes, but only 6 employees can be chosen for computer-based training, and 8 employees can be chosen for televised classes. In how many ways can the 19 employees be divided for training?
Management selection. A corporation plans to fill 2 different positions for vice-president, Upper V 1V1 and Upper V 2V2, from administrative officers in 2 of its manufacturing plants. Plant A has 88 officers and plant B has 99. Question content area bottom Part 1 a. How many ways can these 2 positions be filled if the Upper V 1V1 position is to be filled from plant A and the Upper V 2V2 position from plant B? enter your response here