Implementation NAND,NOR,AND

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You want 3 different implementations of the function? I mean one just with NANDs, one just with NORs and one just with ANDs ?(I don't know if the last is possible)
Or using all three types of gates in the same implementations?
 

the k map reduced equation if f(a,b,c)=c;
definitely you can implement using and also.
both input to and gate will be c.
 

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