यदि \(A=\{1,2,3,4\}\), तो (\mathcal{P}(A)) में ऐसे कितने उपसमुच्चय हैं जिनमें (2) है और आकार सम है?
If \(A=\{1,2,3,4\}\), how many subsets in (\mathcal{P}(A)) contain (2) and have even size?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
After fixing (2), choose an odd number of elements from the remaining (3). The count is \(\binom{3}{1}+\binom{3}{3}=4\).
Why this answer is correct
The correct answer is A. (4). After fixing (2), choose an odd number of elements from the remaining (3). The count is \(\binom{3}{1}+\binom{3}{3}=4\).
Exam Tip
(2) को निश्चित रखने पर बाकी (3) से विषम संख्या तत्व चुनने होंगे। संख्या \(\binom{3}{1}+\binom{3}{3}=4\) है।
Login to save your score, XP, coins and progress.