यदि किसी समुच्चय के उचित उपसमुच्चय (31) हैं तो उस समुच्चय में अवयवों की संख्या क्या है?
If a set has (31) proper subsets, how many elements does the set have?
Explanation opens after your attempt
Correct Answer
B. (5)
Concept
The number of proper subsets is \(2^n-1\). From \(2^n-1=31\), we get (n=5).
Why this answer is correct
The correct answer is B. (5). The number of proper subsets is \(2^n-1\). From \(2^n-1=31\), we get (n=5).
Exam Tip
उचित उपसमुच्चय की संख्या \(2^n-1\) होती है। \(2^n-1=31\) से (n=5) मिलता है।
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