(New page: ==Inclusion-Exclusion Principle (Basic)== ===Definition=== Let B and C be subsets of a given set A. To count the number of elements in the union of B and C, we must evaluate the followin...)
 
(Definition)
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==Inclusion-Exclusion Principle (Basic)==
 
==Inclusion-Exclusion Principle (Basic)==
  
===Definition===
 
 
Let B and C be subsets of a given set A.  To count the number of elements in the union of B and C, we must evaluate the following:
 
Let B and C be subsets of a given set A.  To count the number of elements in the union of B and C, we must evaluate the following:
 +
 
<math> |B \cup C| = |B| + |C| - |B \cap C|
 
<math> |B \cup C| = |B| + |C| - |B \cap C|

Revision as of 06:44, 7 September 2008

Inclusion-Exclusion Principle (Basic)

Let B and C be subsets of a given set A. To count the number of elements in the union of B and C, we must evaluate the following:

$ |B \cup C| = |B| + |C| - |B \cap C| $

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