$50\mathrm{mL}$ of $2.0\times 10^{-3}\mathrm{M}$ $\mathrm{Pb}(\mathrm{NO}{}_3){}_2$ is mixed with $50\mathrm{mL}$ of $4.0\times 10^{-3}\mathrm{M}$ $\mathrm{KI}$. Given $K_{sp}(\mathrm{PbI}{}_2)=8.0\times 10^{-9}$, the correct conclusion is

1. APrecipitate forms; ionic product $=3.2\times 10^{-8}$ exceeds $K_{sp}$
2. BPrecipitate forms; ionic product $=2.0\times 10^{-6}$ exceeds $K_{sp}$
3. CNo precipitate; ionic product $=4.0\times 10^{-9}$ is less than $K_{sp}$
4. DNo precipitate; ionic product $=8.0\times 10^{-9}$ is less than $K_{sp}$