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JEE Mains · Maths · STD 12 - 1. relation and function

ધારો કે \(\mathrm{A}=\{1,3,7,9,11\}\) અને \(\mathrm{B}=\{2,4,5,7,8,10,12\}\). તો \(f(1)+f(3)=14\) થાય તેવા એક-એક વિધેયો \(f: A \rightarrow B\) ની કુલ સંખ્યા .......... છે.

  1. A \(180\)
  2. B \(120\)
  3. C \(480\)
  4. D \(240\)
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Answer & Solution

Correct Answer

(D) \(240\)

Step-by-step Solution

Detailed explanation

\( A=\{1,3,7,9,11\} \) \( B=\{2,4,5,7,8,10,12\} \) \( f(1)+f(3)=14 \) \( \text { (i) } 2+12 \) \( \text { (ii) } 4+10 \) \( 2 \times(2 \times 5 \times 4 \times 3)=240\)
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