Consider the set A of binary strings of length five. Examples are 00000, 01000, 10010, etc. • Let B be a subset of A where all the binary strings in subset B have an even number of 1's. • Let C be a subset of A where all the binary stings in subset C start and end with 1's. • Let D be a subset of A where all the binary strings in subset D have exactly 4 1's. Calculate the size of BUCUD.
Consider the set A of binary strings of length five. Examples are 00000, 01000, 10010, etc. • Let B be a subset of A where all the binary strings in subset B have an even number of 1's. • Let C be a subset of A where all the binary stings in subset C start and end with 1's. • Let D be a subset of A where all the binary strings in subset D have exactly 4 1's. Calculate the size of BUCUD.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the set A of binary strings of length five. Examples are 00000, 01000, 10010, etc.
- Let B be a subset of A where all the binary strings in subset B have an even number of 1's.
- Let C be a subset of A where all the binary stings in subset C start and end with 1's.
- Let D be a subset of A where all the binary strings in subset D have exactly 4 1's.
Calculate the size of �∪�∪�.
Hint: Theorem 9.3.3 The Inclusion/Exclusion Rule for Two or Three Sets (Section 9.3, page 596).
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