Answer
126 strings
Work Step by Step
We have 5 zeros and 14 ones
$0$ must be immediately followed by $11$
So we have five $011$ and four $1$ to arrange.
The arrangements for $n$ objects with $r$ similar objects is given by $\frac{n!}{r!}$
So in our case we have five $011$ and four $1$ to arrange i.e total 9 objects.
Hence it is given by $\frac{9!}{4!.5!}$ = 126