The reaction described is a single replacement reaction.
In a single replacement reaction, one element replaces another in a compound. Here, iron (Fe), a more reactive metal, displaces silver (Ag) from silver nitrate (AgNO3), resulting in the formation of iron(III) nitrate (Fe(NO3)3) and elemental silver (Ag).
This can be represented by the following chemical equation:
3 AgNO3 + 2 Fe → 2 Fe(NO3)3 + 3 Ag
Thus, the correct choice is (e) single replacement.