यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जिनकी cardinality (2) से विभाज्य है?
If \(A=\{1,2,3,4,5,6\}\), how many subsets in (\mathcal{P}(A)) have cardinality divisible by (2)?
Explanation opens after your attempt
Correct Answer
B. (32)
Concept
Cardinality divisible by (2) means even cardinality. A (6)-element set has \(2^{6-1}=32\) even subsets.
Why this answer is correct
The correct answer is B. (32). Cardinality divisible by (2) means even cardinality. A (6)-element set has \(2^{6-1}=32\) even subsets.
Exam Tip
Cardinality (2) से विभाज्य होने का अर्थ even cardinality है। (6)-element set के even subsets \(2^{6-1}=32\) होते हैं।
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