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.
  
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== Examples ==
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2002 AIME I Problems/Problem 1
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http://artofproblemsolving.com/wiki/index.php?title=2002_AIME_I_Problems/Problem_1#Problem
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2011 AMC 8 Problems/Problem 6
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https://artofproblemsolving.com/wiki/index.php?title=2011_AMC_8_Problems/Problem_6
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2017 AMC 10B Problems/Problem 13
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https://artofproblemsolving.com/wiki/index.php?title=2017_AMC_10B_Problems/Problem_13
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2005 AMC 12A Problems/Problem 18
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https://artofproblemsolving.com/wiki/index.php/2005_AMC_12A_Problems/Problem_18
  
 
== See also ==
 
== See also ==

Revision as of 19:42, 26 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.

Examples

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

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