यदि \(A=\{1,2,3,4,5,6,7\}\), तो (\mathcal{P}(A)) के कितने तत्वों में ठीक (5) तत्व नहीं होंगे?
If \(A=\{1,2,3,4,5,6,7\}\), how many elements of (\mathcal{P}(A)) do not have exactly (5) elements?
Explanation opens after your attempt
Correct Answer
B. (107)
Concept
Total subsets are \(2^7=128\), and exactly (5)-element subsets are \(\binom{7}{5}=21\). So the answer is (128-21=107).
Why this answer is correct
The correct answer is B. (107). Total subsets are \(2^7=128\), and exactly (5)-element subsets are \(\binom{7}{5}=21\). So the answer is (128-21=107).
Exam Tip
कुल उपसमुच्चय \(2^7=128\) हैं और ठीक (5) तत्व वाले \(\binom{7}{5}=21\) हैं। इसलिए उत्तर (128-21=107) है।
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