Inclusion-Exclusion Principle Multiple choice Questions and Answers (MCQs)
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Which one of the following problem types does inclusion-exclusion principle belong to?
String processing problems
Question 1 Explanation:
Inclusion-Exclusion principle is a kind of combinatorial problem. It is a counting technique to obtain the number of elements present in sets( two, three, etc., ).
Which of the following is a correct representation of inclusion-exclusion principle?
|A U B|=|A|+|B|-|A, B|
|A, B|=|A|+|B|-|A U B|
|A U B|=|A|+|B|+|A, B|
|A, B|=|A|+|B|+|A U B|
Question 2 Explanation:
The formula for computing the union of two sets according to inclusion-exclusion principle is |A U B|=|A|+|B|-|A, B| where |A, B| represents the intersection of the sets A and B.
..... is one of the most useful principles of enumeration in combinationatorics and discrete probability.
Quick search algorithm
Question 3 Explanation:
Inclusion-exclusion principle serves as one of the most useful principles of enumeration in combinationatorics and discrete probability because it provides simple formula for generalizing results.
Which of the following is not an application of inclusion-exclusion principle?
Matching of bipartite graphs
Maximum flow problem
Question 4 Explanation:
Counting intersections, Graph coloring and Matching of bipartite graphs are all examples of inclusion-exclusion principle whereas maximum flow problem is solved using Ford-Fulkerson algorithm.
Who invented the concept of inclusion-exclusion principle?
Abraham de Moivre
Question 5 Explanation:
The concept of inclusion- exclusion principle was initially invented by Abraham de Moivre in 1718 but it was published first by Daniel Silva in his paper in 1854.
There are 5 questions to complete.