If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and...

If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and `f:X rarr Y`, find the total number of
`{:((i)" functions ",(ii)" one to one functions "),((iii)" many-one functions ",(iv)" constant functions "),((v)" onto functions ",(vi)" into functions "):}`

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The correct Answer is:

(i) 7776 (ii) 720 (iii) 7056 (iv) 6 (v) 0 (vi) 7776

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