यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में ठीक (4) तत्व वाले समुच्चयों की संख्या कितनी है?
If \(A=\{1,2,3,4,5,6\}\), how many sets in (\mathcal{P}(A)) have exactly (4) elements?
Explanation opens after your attempt
Correct Answer
B. (15)
Concept
The number of ways to choose exactly (4) elements is \(\binom{6}{4}=15\). Every such subset is counted in the power set.
Why this answer is correct
The correct answer is B. (15). The number of ways to choose exactly (4) elements is \(\binom{6}{4}=15\). Every such subset is counted in the power set.
Exam Tip
ठीक (4) तत्व चुनने की संख्या \(\binom{6}{4}=15\) है। ऐसे हर उपसमुच्चय को घात समुच्चय में गिना जाता है।
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