Consider permutations of the 26-character lowercase alphabet = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p,

Consider permutations of the 26-character lowercase alphabet

Σ = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}.

1. In how many of these permutations do a, b, c occur consecutively and in that order?

2. In how many of these permutations does a appear before b and b appear before c?