Let Ω be the set of all permutations of the numbers 1,2, ..., n. Let an almostfixed point be defined as follows: If we put the numbersi∈1,2, ..., naround acircle in clockwise order (such that 1 andnare next to each other) and thenassign another numberω(i)∈1,2, ..., nto it, if the numberω(i) is next toi(oris equal toi), we will say thatiis almost a fixed point. So, for the permutationω(1) = 5, ω(2) = 3, ω(3) = 1, ω(4) = 4, ω(5) = 2, we have that 1, 2, and 4 arealmost fixed points. Now, letX(ω) denote the number of almost fixed points inω∈Ω. FindE[X]and var(X). You may assume thatn≥5