The number of hybrid orbitals and pure orbitals involved in bonding in propyne  molecule are

No.of hybrid orbitals = Sum of the hybrid orbitals at all carbons = 4x No.of  sp³ carbons + 3$\times$No. of sp² carbons+ 2$\times$Number of  of sp carbons 

Number  of Hybrid orbitals = (4$\times$1) + (2$\times$2) = 8

Number  of pure orbitals = Sum of number of atoms other than carbons + 2$\times$ No. of $\mathrm{\pi }$ bonds

Number  of pure atomic orbitals = 4 + (2$\times$2) = 8