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...
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**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.
Transcribed Image Text:**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.
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Step 1

Topic -Permutation and combinations

When order matters in selection, we use permutations .

When order does not matter in selection, we use combination .

we know thatCrn=n!r!(n-r)!Prn=n!(n-r)!

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