In order for us to determine the number of sigma and pi bonds, we need to know that a single bond has one sigma bond. A double bond has one sigma and one pi bond. A triple bond has one sigma and two pi bonds.
The molecule above has one double bond and one triple bond. Therefore, there should be 1+2= 3 pi bonds. There are also 16 sigma bonds since there are 14 single, 1 double and 1 triple bond.
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