Which of the following displacement reactions can occur?

C.2AgNO3 + Zn -> 2Ag + Zn(NO3) 2 is the answer. 

single-displacement reaction, also called single-replacement 
reaction, is a type of oxidation-reduction chemical reaction when an element or ion moves out of 
one compound and into another -that is, one element is replaced by another in a compound. This is represented by the general reaction scheme: 
A + BC → AC + B 
This will most often occur if A is more reactive than B. 
In the activity or reactivity series, the metals with the highest propensity to donate their electrons to react are listed first, 
and the most unreactive metals are listed last. Therefore a metal higher 
on the list is able to displace anything on the list below it. The order of activity for metals, from 
most reactive to least reactive, is 
Li,K,Sr,Ca,Na,Mg,Al,Zn,Cr,Fe,Cd,Co,Ni,... Similarly, the halogens with the highest propensity to acquire 
electrons are the most reactive. 
The activity series for halogens, from highest to lowest, is F, Cl, Br, I. 

AgNO3 (which contains an Ag+ ion), and zinc, Zn, forms silver, Ag, and 
zinc nitrate, Zn(NO3)2 (which contains a Zn2+ ion). 

2AgNO3(aq) + Zn(s) → 2Ag(s) +Zn(NO3)2(aq). 

Note that if the reactant in 
elemental form is not the more reactive metal, then no reaction will occur. Some examples of this would be the reverse reactions to these: 
Ag + Cu(NO3)2 → No reaction 
Au + HCl → No reaction 

The gas would begin to expand, and eventually the can would burst or explode.