For a function f:AtoB such that n(A)=a,n(B)=b(a,b in N) then which of the following statements must be CORRECT?

For a function f:AtoB such that n(A)=a,n(B)=b(a,b in N) then which of

1.	For a function f:AtoB such that n(A)=a,n(B)=b(a,b in N) then which of the following statements must be CORRECT?
Answer» if function is one - one, onto then `agtb` if function is one - one into, then `agtb` iif function si MANY - one, onto then `agtb` if function is many - one into, then `altb` Solution :(A). If function is one-one & onto then `a=b` SINCE every element of seb should have exactly one preimage in A. (B). For one-one, into function every element of SET B should have either one pre-image or no preimage in set A `IMPLIES` no of elementsin set `Bge` no. of elements in A `becauseBgea` (C) for many one onto function every element of set B should have one or more tha one pre-images in A. `impliesn(B)len(A)impliesblea` or `AGEB` (D). for many- one into function `a in N` & `b in N`.

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For a function f:AtoB such that n(A)=a,n(B)=b(a,b in N) then which of the following statements must be CORRECT?

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