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22. The number of all possible value of $\theta$, where 0< $\theta$<$\mathrm{\pi }$, for which the system of equations.

(y+z) cos 3 $\theta$=(xyz) sin 3$\theta$
$x \sin 3\theta =\frac{2 \cos 3\theta }{y}+\frac{2 \cos 3\theta }{z}$
and (xyz) sin 3$\theta$ = (y+2z) cos 3 $\theta$ + ysin 3$\theta$ have a solution (x₀,y₀,z₀) with ​y₀z_{0  $\ne$0, is ....}