To determine the number of species that do not have eight electrons around the central atom, we need to analyze each species individually.$\\$1. $$NH$_3: \\$• Nitrogen (N) has 5 valence electrons.$\\$• It forms 3 bonds with hydrogen, contributing 3 more electrons.$\\$• Total electrons around nitrogen: $5 + 3 = 8. \\$• NH$_3$ has 8 electrons around the central atom.$\\$2. $$AlCl$_3: \\$• Aluminum (Al) has 3 valence electrons.$\\$• It forms 3 bonds with chlorine, contributing 3 more electrons.$\\$• Total electrons around aluminum: $3 + 3 = 6. \\$• AlCl$_3$ does not have 8 electrons around the central atom.$\\$3. $$BeCl$_2: \\$• Beryllium (Be) has 2 valence electrons.$\\$• It forms 2 bonds with chlorine, contributing 2 more electrons.$\\$• Total electrons around beryllium: $2 + 2 = 4. \\$• BeCl$_2$ does not have 8 electrons around the central atom.$\\$4. $$CCl$_4: \\$• Carbon (C) has 4 valence electrons.$\\$• It forms 4 bonds with chlorine, contributing 4 more electrons.$\\$• Total electrons around carbon: $4 + 4 = 8. \\$• CCl$_4$ has 8 electrons around the central atom.$\\$5. $$PCl$_5: \\$• Phosphorus (P) has 5 valence electrons.$\\$• It forms 5 bonds with chlorine, contributing 5 more electrons.$\\$• Total electrons around phosphorus: $5 + 5 = 10. \\$• PCl$_5$ does not have 8 electrons around the central atom.$\\$Summary:$\\$• AlCl$_3,$ BeCl$_2,$ and PCl$_5$ do not have 8 electrons around the central atom.$\\$• Total number of species not having 8 electrons around the central atom is 3.$\\$Therefore, the correct option is Option 3.