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 ?

Explanation

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.