Let Sn denote the symmetric group o

Let Sn denote the symmetric group of all permutations of [n], where [n] = {1, 2, . . . , n}. For π = π (1)π (2)· · · π (n) ∈Sn, we define a descent to be an index i ∈ [n − 1] such that π (i) > π (i + 1). Let des (π ) be the number of descents of π.Then the equation

Let Sn denote the symmetric group of all permutations of [n], where [n] = {1, 2,. . . , N}. For p = p (1) p (2) · · · p (n) ∈
Sn, we define a descent to be an index I ∈ [n - 1] such that p (I)> p (I + 1). Let des (p) be the Number of descents of p.
Then the Equation.

Let Sn denote the symmetric group of all permutations of [], where n n [] = {1, the 2,..., n}. For π = π (1) π (2) · · ·, π. (n ∈.)Sn we define, a descent to be an index I ∈ [n − 1] such that π (I) > π (I + 1). Let des (π) be the number of descents. Of π.Then the equation.