यदि \(A=\{1,2,3,4,5\}\) है तो (\mathcal{P}(A)) में तीन तत्वों वाले उपसमुच्चयों की संख्या कितनी होगी?
If \(A=\{1,2,3,4,5\}\), how many three-element subsets are in (\mathcal{P}(A))?
Explanation opens after your attempt
Correct Answer
B. (10)
Concept
The number of three-element subsets is \({}^5C_3=10\). Order is not considered in fixed-size subset counting.
Why this answer is correct
The correct answer is B. (10). The number of three-element subsets is \({}^5C_3=10\). Order is not considered in fixed-size subset counting.
Exam Tip
तीन तत्वों वाले उपसमुच्चयों की संख्या \({}^5C_3=10\) है। निश्चित आकार की गिनती में क्रम नहीं माना जाता।
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