यदि \(U={1,2,\ldots,15}\), \(A=\{1,4,9\}\), \(B=\{2,4,6,8,10,12,14\}\), तो (\(A\cap B\)') में कितने अवयव हैं?
If \(U={1,2,\ldots,15}\), \(A=\{1,4,9\}\), \(B=\{2,4,6,8,10,12,14\}\), how many elements are in (\(A\cap B\)')?
Explanation opens after your attempt
B. (14)
Concept
\(A\cap B={4}\), so its complement has (15-1=14) elements. The complement of a small intersection can be large.
Why this answer is correct
The correct answer is B. (14). \(A\cap B={4}\), so its complement has (15-1=14) elements. The complement of a small intersection can be large.
Exam Tip
\(A\cap B={4}\), इसलिए उसके पूरक में (15-1=14) अवयव हैं। छोटे प्रतिच्छेद का पूरक बड़ा हो सकता है।
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