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 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...
Related questions
Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35ad263b-c31f-4196-aa81-a0a5a787610e%2Fae6012fc-bd95-44d8-aea1-0daa9f27b6f7%2Fjif2t4n_processed.jpeg&w=3840&q=75)
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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
