The term independent of x in \({\left( {{{\rm{x}}^2} - {\rm{\;}}\frac{1}{{{{\rm{x}}^3}}}} \right)^{10}}\) is 

1
\({\rm{\;}}{{\rm{\;}}^{10}}{{\rm{C}}_5}{\rm{\;}}\)
2
\({\rm{\;}}{{\rm{\;}}^{10}}{{\rm{C}}_3}{\rm{\;}}\)
3
\({\rm{\;}}{{\rm{\;}}^{10}}{{\rm{C}}_2}{\rm{\;}}\)
4
\({\rm{\;}}{{\rm{\;}}^{10}}{{\rm{C}}_4}{\rm{\;}}\)

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