Fundamental Principle of Counting
Master the foundation of counting - understand multiplication and addition principles with real-world applications in passwords, license plates, and choice-making scenarios
Permutations-Combinations
Permutations Basics - Arrangements and nPr Formula
Master permutations and the nPr formula - learn to solve arrangement problems involving distinct objects, factorial notation, and ordered selections for JEE
Permutations with Repetition
Master arrangements when objects repeat - learn to handle identical items, the formula n!/(p!q!r!), and solve problems like arranging letters in MISSISSIPPI
Circular Permutations - Arrangements in a Circle
Master circular arrangements - understand rotational symmetry, the (n-1)! formula, necklace problems, and solve round table, garland, and clock problems for JEE
Combinations Basics - Selections and nCr Formula
Master combinations and the nCr formula - learn to solve selection problems, understand binomial coefficients, and tackle team selection, lottery, and committee formation for JEE
Combinations Applications - Selection and Distribution Problems
Master advanced combination problems - distribution of objects, selection with restrictions, multinomial coefficients, and solve complex JEE problems involving groups and partitions
Derangements - Permutations with No Fixed Points
Master derangements and advanced permutation concepts - learn the derangement formula !n, inclusion-exclusion principle, and solve complex arrangement problems where no element stays in its original position