Questions
Single choice
In set theory, which is the correct formula for the Principal of Inclusion and Exclusion: (K:1)
Options
A.a. n(A⋃B) = n(A) + n(B) + n(A⋂B)
B.b. n(A⋃B) = n(A) + n(B)
C.c. n(A⋃B) = n(A) - n(B) - n(A⋂B)
D.d. n(A⋃B) = n(A) + n(B) - n(A⋂B)
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Step-by-Step Analysis
The question asks for the correct formula of the Principal of Inclusion and Exclusion for two sets A and B.
Option a: n(A∪B) = n(A) + n(B) + n(A∩B). This is incorrect because adding the intersection again double-counts the elements that are in both A and B; the + ......Login to view full explanationLog in for full answers
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