This book is written in simple and lucid language. This is a rigorous basic book dealing preliminary with concept of counting. It contains preliminary set theory, functions, sequence, permutation, combinations, generating functions and other counting methods, and preliminary theory and solving more problems with pictorial representation for the independent study for classroom use. This book is a reference for many courses wherever necessary at any level. Combinatorics is one of the important areas of mathematics and real life today. The study of counting is learning from childhood to onward at different classes. The topic is very essential and useful for different areas of mathematics. Counting is used frequently in computer science study to obtain formulas and estimates in the analysis of algorithms. It is useful at every classes and competitive examinations. The author has paid particular attention to the presentation, clarity and arrangements of the topic or material with diagrams. Contents - 1. Sets 2. Functions 3. Sequences 4. Generating Function 5. Recurrence Relation 6. Basic Counting 7. Advanced Counting Techniques About the Author: M.V. Deshmukh is an Assistant Professor of Mathematics at Pune District Education Association Annasaheb Waghire College where he has taught at undergraduate and post graduate level since 1997. He received B.Sc. degree in Mathematics with rank one at North Maharashtra University, Jalgaon in 1995 and M.Sc. degree at Department of Mathematics, University of Pune in 1997. He is doing research work in the area of Graph Theory, Combinatorics and Differential Equations. He is also author of the books: (1) Mathematics and Statistics published by Atharva Prakashan and (2) Practical Book of Mathematics published by Nirali Prakashan.