Class 11 Mathematics - Relations and Functions - Cartesian product of sets Easy Quiz

Level 29 • 2/50 questions • 40 seconds per question.

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यदि \(A=\{1,2,3\}\) और \(B=\{0,1\}\) है तो (A) से (B) में कुल फलनों की संख्या कितनी है?

If \(A=\{1,2,3\}\) and \(B=\{0,1\}\), how many functions are there from (A) to (B)?

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Correct Answer

A. (8)

Explanation

Simple Explanation

कुल फलनों की संख्या \(|B|^{|A|}=2^3=8\) होती है। आधार सहप्रांत के तत्वों की संख्या होती है। / The number of functions is \(|B|^{|A|}=2^3=8\). The base is the number of elements in the codomain.

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यदि \(A=\{1,2\}\) और \(B=\{3,4,5\}\) है तो \(A\times B\) के किस उपसमुच्चय से फलन बनता है?

If \(A=\{1,2\}\) and \(B=\{3,4,5\}\), which subset of \(A\times B\) forms a function?

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Correct Answer

A. ({(1,3),(2,5)})

Explanation

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पहले उपसमुच्चय में (1) और (2) का एक-एक प्रतिबिंब है। बाकी में कोई इनपुट दो अलग मानों से जुड़ा है या छूट गया है। / In the first subset, (1) and (2) each have one image. In the others an input has two different values or is missing.

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