We apply an equal-velocity quark combination model to study the production of light-flavor hadrons and single-charmed hadrons at midrapidity in the collisions at TeV. We find that the experimental data for the spectra of and exhibit the quark number scaling property, which clearly indicates the quark combination mechanism at hadronization. Experimental data for the spectra of , , , , , and are systematically described by the model. The non-monotonic dependence of the ratio is naturally explained, and we find that it is closely related to the shape of the logarithm of the strange quark distribution. Using the spectra of light-flavor quarks obtained from light-flavor hadrons and the spectrum of charm quarks, which is consistent with perturbative QCD calculations, the experimental data for differential cross-sections of , , and as functions of are systematically described. We predict the differential cross-sections of and . The ratio in our model is approximately 0.16, and is approximately 0.012, owing to the cascade suppression of strangeness. In addition, the predicted and ratios exhibit the non-monotonic dependence on in the low range.