Sets-Relations-And-Functions Question 121
Question: If n = 115, n = 326, n(A - B) = 47, then what in $ n(A\cup B) $ equal to?
Options:
A) 373
B) 165
C) 370
D) 394
Correct Answer: A $ \Rightarrow 47=115-n(A\cap B) $ $ \Rightarrow n(A\cap B)=68 $
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Answer:
Solution:
$ \therefore n(A-B)=n(A)-n(A\cap B) $ Given, $ n(A)=115,n(B)=326 $ and $ n(A-B)=47. $
Consider $ n(A\cup B)=n(A)+n(B)-n(A\cap B) $
$ =115+326-68=373 $
BETA
