Answer:
Double Displacement.
Two ionic compounds are exchanging their ions and two new compounds are being generated, obviously also ionic.
Step-by-step explanation:
This is the reaction:
Pb(NO3)2 + 2NaCl ----> PbCl2 + 2NaNO3
Synthesis: FALSE. There aren't elements in ground state which are forming a complex molechule.
Decomposition: FALSE. A molecule is not disassembled to convert it into its ground elements
Simple Displacement: FALSE.
It is not a reaction in which one element is replaced by another, because an element is not being used in its fundamental state either as a reagent and nor as a product.
Combustion: There is no O2 in the reaction. Combustion has O2 as a reactant and as products, you have H2O and CO2