Number of $\mathrm{\pi }$-bonds and $\mathrm{\sigma }$-bonds in the following structure is

 

$\mathrm{\sigma }$ and $\mathrm{\pi }$-bonds
The given compound will have the correct structure as
 

There are 5$\mathrm{\pi }$-bonds and 8C - H + 11C - C $\mathrm{\sigma }$-bonds are present in the above molecule.