Consider the set A of all strings of letters a-f of length 6. A few elements of this set are dcebac, ebaafe, and abeafa. What is the cardinality of each of the following sets? Please indicate which of the principles of multiplication, addition, or inclusion-exclusion you have used in each part.    Part A  The set A itself   Part B The set B a subset of A of strings of length 6 in which no elements are repeated   Part C The set C a subset of A of strings which contain the substring fab   Part D The set D a subset of A of strings which contain the substring fab or the substring feebb (or both)   Part E The set E of strings which contain either the substring fab or the substring baff (or both)

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
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Consider the set A of all strings of letters a-f of length 6. A few elements of this set are dcebac, ebaafe, and abeafa. What is the cardinality of each of the following sets? Please indicate which of the principles of multiplication, addition, or inclusion-exclusion you have used in each part. 

 

Part A 

The set A itself

 

Part B

The set B a subset of A of strings of length 6 in which no elements are repeated

 

Part C

The set C a subset of A of strings which contain the substring fab

 

Part D

The set D a subset of A of strings which contain the substring fab or the substring feebb (or both)

 

Part E

The set E of strings which contain either the substring fab or the substring baff (or both)

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