यदि \(A=\{1,2,3,4\}\) और \(B=\{a,b\}\) हों, तो (A) से (B) में कुल फलनों की संख्या क्या है?
If \(A=\{1,2,3,4\}\) and \(B=\{a,b\}\), what is the number of functions from (A) to (B)?
Explanation opens after your attempt
Correct Answer
A. \(2^4=16\)
Concept
There are (2) choices from (B) for each of the (4) elements of (A), so there are \(2^4=16\) functions. In exams, the base is the size of the codomain.
Why this answer is correct
The correct answer is A. \(2^4=16\). There are (2) choices from (B) for each of the (4) elements of (A), so there are \(2^4=16\) functions. In exams, the base is the size of the codomain.
Exam Tip
(A) के (4) तत्वों के लिए (B) की (2) पसंद हैं, इसलिए \(2^4=16\) फलन हैं। परीक्षा में आधार सहप्रांत की संख्या होती है।
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