यदि (n(A)=6), तो (P(A)) के अवयवों में सम संख्या वाले अवयवों के उपसमुच्चयों की संख्या क्या होगी?
If (n(A)=6), what is the number of elements of (P(A)) that are subsets with an even number of elements?
Explanation opens after your attempt
Correct Answer
C. (32)
Concept
For a (6)-element set, even-sized subsets are \(2^{6-1}=32\). Even-sized and odd-sized subsets are equal in number.
Why this answer is correct
The correct answer is C. (32). For a (6)-element set, even-sized subsets are \(2^{6-1}=32\). Even-sized and odd-sized subsets are equal in number.
Exam Tip
किसी (6) अवयव वाले समुच्चय में सम आकार के उपसमुच्चय \(2^{6-1}=32\) होते हैं। सम और विषम आकार वाले उपसमुच्चय बराबर होते हैं।
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