यदि किसी समुच्चय के (15) उचित उपसमुच्चय हैं तो उसके पावर समुच्चय में कितने अवयव होंगे?
If a set has (15) proper subsets, how many elements are in its power set?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
From proper subsets \(2^n-1=15\), we get \(2^n=16\). A power set has \(2^n\) elements.
Why this answer is correct
The correct answer is B. (16). From proper subsets \(2^n-1=15\), we get \(2^n=16\). A power set has \(2^n\) elements.
Exam Tip
उचित उपसमुच्चय \(2^n-1=15\) से \(2^n=16\) मिलता है। पावर समुच्चय में कुल \(2^n\) अवयव होते हैं।
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