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Use the fundamental principle of counting or permutations to solve each problem.Concert Program Arrangement $\mathrm{A}$ concert to raise money for an economics prize is to consist of 5 works:2 overtures, 2 sonatas, and a piano concerto. In how many ways can a program with these 5 works be arranged?

120 ways

Algebra 2

Chapter 8

Further Topics in Algebra

Section 4

Counting Theory

Sequences and Series

Algebra

University of North Carolina at Chapel Hill

Oregon State University

Lectures

09:38

In mathematics, an absolut…

01:43

In mathematics, an equatio…

01:22

Use the fundamental princi…

01:45

01:34

00:45

These problems involve per…

01:04

Use the Fundamental Counti…

01:33

A program is planned to ha…

00:42

Tell whether each situatio…

02:05

00:52

00:33

These exercises involve co…

we have to arrange five words books in a program. So let us consider that these are the sequence of books 1st 2nd 3rd 4th and fifth. So first we will be displayed with this work. Secondly, this third this and considered these air support and 50 books in a program. So for our first work, we have five choices for our second work. As one as one choice has already been made as the first work has been done here. So we have four choices for 3rd 1 We have three choices. And for 4th 1 we have two choices. And lastly, we are left with only one book. Therefore, by using a fundamental principle of counting, we can find principal off counting. You can find the total number off these. Can a program be a ring? We will multiply all these choices we have That is 5432 and one. So we get after multiplication. The total number off these are program can be arranged. And after multiplying these terms, we get 1 20 So we have 1.8 different ways to arrange a program or five books

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