We study the multiplicity fluctuation and correlation of identified mesons and baryons formed at the hadronization by the quark combination mechanism in the context of ultra-relativistic heavy-ion collisions. Based on the statistical method of free quark combination, we derive the two-hadron multiplicity correlations such as mesonmeson and meson-baryon correlations, and take the effects of quark number fluctuation at hadronization into account by a Taylor expansion method. After including the decay contributions, we calculate the dynamical fluctuation observable ν dyn for Kπ, pπ and Kp pairs and discuss what underlying physics can be obtained by comparing with the data in Pb-Pb collisions at √ sNN = 2.76 TeV and the simulations from HIJING and AMPT event generators.