Step 1: Recall what defines a network (covalent) solid.
A network solid is one giant molecule in which every atom is joined to its neighbours by continuous covalent bonds spread through the whole crystal. There are no separate small molecules, so these solids are very hard with high melting points.
Step 2: Pick the network solids from the list.
Looking at the list, the substances held together by a continuous covalent network are $AlN$, diamond and $SiO_2$. That gives us three network solids.
Step 3: Recall what defines an ionic solid.
An ionic solid is built from positive and negative ions arranged in a regular lattice and held by strong electrostatic (coulombic) forces. They are hard, brittle and conduct only when molten or dissolved.
Step 4: Pick the ionic solids from the list.
The ionic members are $CaF_2$, $MgO$, $ZnS$ and $NaCl$, which makes four ionic solids.
Step 5: Account for the leftover substances so nothing is double counted.
Ice $H_2O$ and $CCl_4$ are molecular solids, while $Cu$ and $Ag$ are metallic solids. None of these belong to the network or ionic groups, so they do not change our counts.
Step 6: State the pair in the asked order.
Network solids count to $3$ and ionic solids count to $4$, written as $(3,\,4)$.
\[ \boxed{3,\,4} \]