$\text{Among}{ [\mathrm{Co}\left(\mathrm{CN}\right)\mathrm{₄}]}^{-4},\left[\mathrm{Co}\right(\mathrm{CO}\left)\mathrm{₃}\right(\mathrm{NO}\left)\right],\mathrm{XeF}\mathrm{₄},{\left[\mathrm{PCl}\mathrm{₄}\right]}^{+},{\left[\mathrm{PdCl}\mathrm{₄}\right]}^{2-},{\left[\mathrm{ICl}\mathrm{₄}\right]}^{-},{\left[\mathrm{Cu}\right(\mathrm{CN}\left)\mathrm{₄}\right]}^{-3}\text{and}{}_{}$

$P_4\text{, the total number of species with tetrahedral geometry is \_\_\_\_\_.}$

The correct answer is 5.

To determine the total number of species with tetrahedral geometry, let us analyze each of the given species one by one:

1. [Co(CN)₄]^4-:
Cobalt is in the +0 oxidation state here (d⁹ configuration with strong field ligands CN^-). In 4-coordinate Co(0) complexes, the hybridization is sp³, giving it a tetrahedral geometry.

2. [Co(CO)₃(NO)]:
Assuming NO acts as a 3-electron donor (NO⁺), Cobalt is in the -1 oxidation state with d¹⁰ configuration. With 4 coordinate bonds and sp³ hybridization, it has a tetrahedral geometry.

3. XeF₄:
Xenon has 8 valence electrons. Bonding with 4 fluorine atoms leaves 2 lone pairs. The steric number is 4 + 2 = 6, giving sp³d² hybridization with a square planar geometry.

4. [PCl₄]⁺:
Phosphorus has 5 valence electrons. Losing 1 electron leaves 4 valence electrons, which form 4 single bonds with chlorine atoms. The steric number is 4 (sp³ hybridization), resulting in a tetrahedral geometry.

5. [PdCl₄]^2-:
Palladium is a 4d transition metal in the +2 oxidation state (d⁸ configuration). All 4d⁸ and 5d⁸ 4-coordinate complexes form dsp² hybridized complexes regardless of ligand strength, resulting in a square planar geometry.

6. [ICl₄]^-:
Iodine has 7 valence electrons plus 1 negative charge = 8 electrons. Forming 4 single bonds with chlorine leaves 2 lone pairs. The steric number is 6 (sp³d² hybridization), which gives a square planar geometry.

7. [Cu(CN)₄]^3-:
Copper is in the +1 oxidation state with a d¹⁰ electron configuration. A 4-coordinate d¹⁰ ion uses sp³ hybridization, resulting in a tetrahedral geometry.

8. P₄:
The white phosphorus molecule (P₄) consists of four phosphorus atoms arranged at the corners of a tetrahedron, forming a tetrahedral structure.

Thus, the species with tetrahedral geometry are:
1. [Co(CN)₄]^4-
2. [Co(CO)₃(NO)]
3. [PCl₄]⁺
4. [Cu(CN)₄]^3-
5. P₄

Therefore, the total number of species with tetrahedral geometry is 5.