A group of 5 musical notes is made into a 5-tone musical phrase, consisting of 5 different notes. How many different phra There are different phrases possible to construct.

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...
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**Title: Constructing Musical Phrases**

A group of 5 musical notes is made into a 5-tone musical phrase, consisting of 5 different notes. How many different phrases are possible to construct?

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**Interactive Component:**
There are [____] different phrases possible to construct.

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**Explanation:**
To find the number of different phrases, consider the number of permutations of 5 distinct notes. The formula for finding permutations of n distinct items is n!.

Therefore, the number of different phrases is 5! = 5 × 4 × 3 × 2 × 1 = 120.
Transcribed Image Text:**Title: Constructing Musical Phrases** A group of 5 musical notes is made into a 5-tone musical phrase, consisting of 5 different notes. How many different phrases are possible to construct? --- **Interactive Component:** There are [____] different phrases possible to construct. --- **Explanation:** To find the number of different phrases, consider the number of permutations of 5 distinct notes. The formula for finding permutations of n distinct items is n!. Therefore, the number of different phrases is 5! = 5 × 4 × 3 × 2 × 1 = 120.
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