Difference between revisions of "Principle of Inclusion-Exclusion"

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The '''Principle of Inclusion-Exclusion''' (abbreviated PIE) provides an organized method/formula to find the number of [[element]]s in the [[union]] of a given group of [[set]]s, the size of each set, and the size of all possible [[intersection]]s among the sets.
 
The '''Principle of Inclusion-Exclusion''' (abbreviated PIE) provides an organized method/formula to find the number of [[element]]s in the [[union]] of a given group of [[set]]s, the size of each set, and the size of all possible [[intersection]]s among the sets.
  
== Examples ==
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HELLO!
2002 AIME I Problems/Problem 1
 
http://artofproblemsolving.com/wiki/index.php?title=2002_AIME_I_Problems/Problem_1#Problem
 
 
 
2011 AMC 8 Problems/Problem 6
 
https://artofproblemsolving.com/wiki/index.php?title=2011_AMC_8_Problems/Problem_6
 
 
 
2017 AMC 10B Problems/Problem 13
 
https://artofproblemsolving.com/wiki/index.php?title=2017_AMC_10B_Problems/Problem_13
 
 
 
2005 AMC 12A Problems/Problem 18
 
https://artofproblemsolving.com/wiki/index.php/2005_AMC_12A_Problems/Problem_18
 
  
 
== See also ==
 
== See also ==

Revision as of 16:57, 24 October 2020

The Principle of Inclusion-Exclusion (abbreviated PIE) provides an organized method/formula to find the number of elements in the union of a given group of sets, the size of each set, and the size of all possible intersections among the sets.

HELLO!

See also