# If A = {a, b, c}

Formula:-

(I)A function is one-one function or an injection if

f(x)=f(y)

x=y for all x, y A

or f(x) f(y)

x y for all x, y A

(II)if A and B are two non-empty finite sets containing m and n

(i) Number of function from A to B = nm

(ii) Number of one–one function from A to B (iii) Number of one-one and onto function from A to B (iv) Number of onto function from A to B= Let f: AB be one-one function

F(a)=3 and f(B)=5

Using formula

Number of one–one function from A to B  3C5.5!=60

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