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

Permutation and Combination plays a very important role in both phases of Joint Entrance Examination (JEE) i.e. JEE Main and JEE Advanced. About 2-3 questions are always being asked from this chapter ...

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) ...

Despite being sparse, the subject about says it all. I want to know how many sequences of length n can be generated from N unique items, up to the direction of ordering. So {1,2,3} == {3,2,1} != ...