यदि \(A=\{1,2,3,4\}\) है, तो (\mathcal{P}(A)) में ऐसे कितने तत्व हैं जिनमें ठीक (2) तत्व हों?
If \(A=\{1,2,3,4\}\), how many elements of (\mathcal{P}(A)) have exactly (2) elements?
Explanation opens after your attempt
Correct Answer
C. (6)
Concept
The number of subsets with exactly (2) elements is \(\binom{4}{2}=6\). Inside a power set, subsets can also be counted by their size.
Why this answer is correct
The correct answer is C. (6). The number of subsets with exactly (2) elements is \(\binom{4}{2}=6\). Inside a power set, subsets can also be counted by their size.
Exam Tip
ठीक (2) तत्व वाले उपसमुच्चयों की संख्या \(\binom{4}{2}=6\) होती है। घात समुच्चय के अंदर उपसमुच्चयों को उनके आकार से भी गिना जा सकता है।
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