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I will discuss fluctuations and correlations of conserved charges
namely quark number, isospin number, electric charge and strangeness at vanishing chemical potential for the 2+1 flavor quark matter using some effective models. Possible physical implications of these fluctuations and correlations and their importance in understanding the matter obtained in heavy-ion collisions will be discussed. I will also discuss the importance of these quantities in finite volume scenario. Some results at finite chemical potential, relevant to CBM experiment FAIR, will also be discussed.