JEE Mains · Maths · STD 12 - 1. relation and function
Let \(A=\{1,2,3,5,8,9\}\). Then the number of possible functions \(f : A \rightarrow A\) such that \(f(m \cdot n)=f(m) \cdot f(n)\) for every \(m, n \in A\) with \(m \cdot n \in A\) is equal to \(...............\).
- A \(431\)
- B \(432\)
- C \(430\)
- D \(894\)
Answer & Solution
Correct Answer
(B) \(432\)
Step-by-step Solution
Detailed explanation
\(f (1)=1 ; f (9)= f (3) \times f (3)\) i.e., \(f(3)=1\) or \(3\) Total function \(=1 \times 6 \times 2 \times 6 \times 6 \times 1=432\)
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