Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
3. First, write down 12 pairwise distinct permutations of the following 10 letters: a, a, a, b, b, n, n, e, s, t. Then prove that the number of pairwise distinct permutations of n objects in which the first object appears k₁ times, the second k₂ times, the third k3 times, and all other objects appear exactly once equals n! k₁! . k2!. k3!

3. First, write down 12 pairwise distinct permutations of the following 10 letters: a, a, a, b, b, n, n, e, s, t. Then prove that the number of pairwise distinct permutations of n objects in which the first object appears k₁ times, the second k₂ times, the third k3 times, and all other objects appear exactly once equals n! k₁! . k2!. k3!

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
See similar textbooks
icon
Related questions
Question
3. First, write down 12 pairwise distinct permutations of the following 10 letters: a, a, a, b, b, n, n, e, s, t. Then prove that the number of pairwise distinct permutations of n objects in which the first object appears k₁ times, the second k₂ times, the third k3 times, and all other objects appear exactly once equals n! k₁! · k2! · k3!`
Transcribed Image Text:3. First, write down 12 pairwise distinct permutations of the following 10 letters: a, a, a, b, b, n, n, e, s, t. Then prove that the number of pairwise distinct permutations of n objects in which the first object appears k₁ times, the second k₂ times, the third k3 times, and all other objects appear exactly once equals n! k₁! · k2! · k3!`
Expert Solution
steps

Step by step

Solved in 3 steps with 19 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

the 12 pairs are not correct

 

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Processes of 3D Graphics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS