The structure of hex-1-en-4-yne consists of:
- A C=C double bond (with one \( \sigma \)-bond and one \( \pi \)-bond).
- A C≡C triple bond (with one \( \sigma \)-bond and two \( \pi \)-bonds).
- Six single bonds between carbon atoms and hydrogen atoms (each \( \sigma \)-bonds).
Count of \( \sigma \)-bonds:
- 1 \( \sigma \)-bond in the C=C double bond.
- 1 \( \sigma \)-bond in the C≡C triple bond.
- 11 \( \sigma \)-bonds between carbon and hydrogen atoms.
Thus, the total number of \( \sigma \)-bonds is 13.
Count of \( \pi \)-bonds:
- 1 \( \pi \)-bond in the C=C double bond.
- 2 \( \pi \)-bonds in the C≡C triple bond.
Thus, the total number of \( \pi \)-bonds is 3.
Therefore, the correct answer is
(1) 13 and 3.