This document provides an introduction to statistical mechanics and different types of statistics. It discusses classical statistics, which includes Maxwell-Boltzmann statistics, and quantum statistics, which includes Bose-Einstein (B-E) and Fermi-Dirac (F-D) statistics. Maxwell-Boltzmann statistics treats particles as distinguishable and applies to ideal gases, while B-E and F-D statistics treat particles as indistinguishable and apply to photons/bosons and electrons/fermions, respectively. The key differences between the statistics are whether particles can occupy the same state (B-E allows multiple occupancy, F-D allows only single occupancy) and the formulas that describe the most probable distribution of particles