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Let X ={x,y} and Y ={u,v}. Write down all the functions that can be defined from X To Y. How many of these are (i) one-one (ii) onto and (iii)one-one and onto ? |
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Answer» Solution :The function from X={x,y} to y ={u,v} are :`f_1 ={(x,u),(y,v)}` `f_2={(x,v),(y,u)}` `f_3 ={(x,4),(y,u)` `f_4={(x,v),(y,v)}` Out of these 4 FUNCTIONS there are :(i) 2 one-one functions (ii) 2 ONTO functions (III) 2 one-one and onto fuction. |
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