To be blunt: your question mentions zero information about subnet masks, desired network size, etc. So your question is incomplete. There is nothing to prove.
Quite right. Without a subnet mask, the general assumption is that we're talking about a Class B address, which suggests the mask is going to be 255.255.0.0. Of course, that's assumptive in the absence of the mask or CIDR notation.
However, to complete the square, let me suggest that a mask of 255.255.240.0, or a /20 applied to 172.16.0.0 will create 11 networks. (actually it creates 16).
172.16.0.0 - 172.16.0.15
172.16.0.16 - 172.16.0.31
172.16.0.32 - 172.16.0.47
172.16.0.48 - 172.16.0.63
172.16.0.64 - 172.16.0.79
172.16.0.80 - 172.16.0.95
172.16.0.96 - 172.16.0.111
172.16.0.112 - 172.16.0.127
172.16.0.128 - 172.16.0.143
172.16.0.144 - 172.16.0.159
172.16.0.160 - 172.16.0.175
172.16.0.176 - 172.16.0.191
172.16.0.192 - 172.16.0.207
172.16.0.208 - 172.16.0.223
172.16.0.224 - 172.16.0.239
172.16.0.240 - 172.16.0.255
Additionally, remember that when CompTIA asks about what the mask needs to be to get "this many networks/hosts", they are looking for the bare minimum. Naturally, /21 /22, etc will also give you 11 networks, but in questions like this, they are looking for the line. So a /20 will give you the 11 networks you need, but a /19 will not (that only produces 8).
/r