Q. 273.5( 2 Votes )

Let A = {1, 2, 3,

Answer :

Formula:-


(I)A function is onto function or surjection if


Range (f)=co-domain(f)


(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=


Given:-


(i)A = {1, 2, 3, 4}=4


(ii)B = {a, b}=2


Using formula (iv)


Number of onto function from A to B=


Where m=4,n=2



=-2+16=14


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