(10) तत्वों वाले समुच्चय के विषम संख्या तत्वों वाले उपसमुच्चयों की संख्या कितनी है?
How many subsets with an odd number of elements does a set of (10) elements have?
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Correct Answer
C. (512)
Concept
In an (n)-element set, the number of odd-sized subsets is \(2^{n-1}\). Here \(2^{9}=512\).
Why this answer is correct
The correct answer is C. (512). In an (n)-element set, the number of odd-sized subsets is \(2^{n-1}\). Here \(2^{9}=512\).
Exam Tip
किसी (n) तत्वों वाले समुच्चय में विषम आकार के उपसमुच्चय \(2^{n-1}\) होते हैं। यहां \(2^{9}=512\)।
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