यदि \(A=\{1,2,3,4\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (1) और (2) साथ साथ हों या दोनों न हों?
If \(A=\{1,2,3,4\}\) then how many subsets contain (1) and (2) together or contain neither?
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Correct Answer
C. (8)
Concept
When both (1,2) are included there are \(2^2=4\) choices, and when neither is included there are \(2^2=4\) choices. Total is (8).
Why this answer is correct
The correct answer is C. (8). When both (1,2) are included there are \(2^2=4\) choices, and when neither is included there are \(2^2=4\) choices. Total is (8).
Exam Tip
(1,2) दोनों होने पर \(2^2=4\) और दोनों न होने पर \(2^2=4\) विकल्प हैं। कुल (8) उपसमुच्चय बनते हैं।
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