Question 4: Let n > 1 be an integer and consider the set S = {1,2 , n). Assume we arrange the elements of S in sorted order on a horizontal line. Let B be the number of subsets of S that do not contain any two elements that are neighbors on this line. For example, if n = 4, then both subsets(13) and {1,4) are counted in B, but neither of the subsets 2,3 and 2, 3,4 is counted For each integer n 2 1, express B in terms of numbers that we have seen in class Assume we arrange the elements of s in sorted order along a circle. Let C, be the number of subsets of S that do not contain any two elements that are neighbors on this circle. For example, if n -4, then the subset 1,3 s counted in Ca, but neither of the subsets {2,3) and 1,4 is counted. For each integer n 2 4, express Cn in terms of numbers that we have seen in class