Sets 3
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This document discusses set operations and cardinality. It states that the cardinality of the union of two finite sets A and B equals the sum of the cardinalities of A and B minus their intersection. It also provides formulas for calculating the cardinality of the difference and intersection of sets based on the union, as well as relating the cardinality of a set to its complement within a finite universal set.
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Sets 3
- 1. Sets
- 2. If A and B are finite sets,then n(A U B ) = n(A) + n(B) – n(AnB) Conditions
- 3. n(A-B) = n(AUB)- n(B)= n(A)- n(AnB) n(AUB)=n(A-B) + n(B-A) + n(AnB)
- 4. If $ is finite set and A is any set , then n(A) +n(A’)=n($)