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Question 7 < A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible?

Question 7 < A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Question 7** A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible? [Text Box]
Transcribed Image Text:**Question 7** A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible? [Text Box]
Expert Solution
Step 1

Given:

A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces.

We need to determine how many different recital programs are possible.

Concept:

Here the order of the songs being played is carefully considered in order to ensure a good flow. So we use the concept of Permutation for determining the number of recital programs possible.

The formula for computing permutation is given by;

P(n,r)=n!(n-r)!

The above formula calculates number of permutations of n things taken r at a time.

 

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