Question

if A={a,b,c,d} and f={(a,b),(b,d),(c,a),(d,c)} show that f is one-one from A ontoA

Answer 1

f:AtoA 

Cartesian Product of this function is given = {(a,b) , (b,d) , (c,a) , (d,c) }

so here a is associating with b 
             b with d
             c with a 
             d with c

So every element of Second set A is participating in the association 
    So this Onto Function

Here each element of First Set is associating with UNIQUE element of Second set
 SO this one one function



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