## Toppers Notes on Permutations and Combinations

Below you will get an embedded PDF file of the topic “toppers notes on Permutations and Combinations for jee main & Advanced”, where you have the facility to read, download, or print the document at your convenience. You can take the help of these short notes for the preparation of All India engineering examinations like JEE Main & JEE Advanced. In fact, these notes are helpful to crack any entrance exam in which the mathematics up to 12th class is asked.

### Table of Content

• Factorials.
• Fundamental Principle of counting (The Sum Rule and The Product Rule).
• Definition of permutations.
• Definition of combinations.
• Difference between the permutations and combinations.
• Some important formulae of permutations.
• Conditional permutations.
• Circular permutations.
• Difference between Clockwise and Anti-Clockwise arrangement.
• The number of combinations with repetition.
• Conditional combinations.
• The division into groups.
• Derangement.
• The number of squares and rectangles.
• The exponent of prime p.
• Some important results of geometrical problems.
• Multinomial theorem.
• Coefficient method.
• The number of divisors.
• The pigeon hole principle.
• The principle of inclusion and exclusion.