Let A = { 1 , 2 , 3 , 4 , 5 } and f : A → A be an into function such that f ( i )  = i ∀ i ∈ A , then number of such functions f are

Total number of functions for which f ( i )  = i = 4 5 and number of onto functions in which f ( i )  = i = 44 ⇒ required numbers of functions = 980 .

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MathematicsFunctionsTypes of Function (Mapping)Medium2 minQB

MathematicsMediumsingle choice

Let $A = {1, 2, 3, 4, 5}$ and $f : A \to A$ be an into function such that $f (i) \neq = i \forall i \in A$ , then number of such functions $f$ are

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Total number of functions for which $f (i) \neq = i = 4^{5}$ and number of onto functions in which $f (i) \neq = i = 44 \Rightarrow$ required numbers of functions $= 980$ .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

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