Eulerian polynomials have long occupied a central role in combinatorics, encapsulating critical information about permutation statistics. In their classical formulation, these polynomials encode the ...

After building a grasp on all the chapters of mathematics, it is time that candidates should learn Modern Mathematics. This chapter comprises of three chapters (i.e. Permutations and Combinations, ...

After previously discussing permutations, Dr. James McCaffrey of Microsoft Research uses step-by-step examples and full code presentations to explore combinations. A zero-based mathematical (n, k) ...