(10) अवयवों वाले समुच्चय में (a) और (b) विशेष हैं। ऐसे उपसमुच्चय कितने हैं जो (a) को रखते हैं लेकिन (b) को नहीं रखते?
In a set of (10) elements, (a) and (b) are special. How many subsets contain (a) but do not contain (b)?
Explanation opens after your attempt
Correct Answer
B. (256)
Concept
(a) is fixed as selected and (b) is fixed as not selected, so the remaining (8) elements are free, giving \(2^8=256\). Fix compulsory states first.
Why this answer is correct
The correct answer is B. (256). (a) is fixed as selected and (b) is fixed as not selected, so the remaining (8) elements are free, giving \(2^8=256\). Fix compulsory states first.
Exam Tip
(a) निश्चित रूप से चुना और (b) निश्चित रूप से छोड़ा गया, बाकी (8) अवयव स्वतंत्र हैं, इसलिए \(2^8=256\)। निश्चित अवस्थाओं को पहले स्थिर करें।
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