P1.1.4 Let C be the set (0, 1,..,15]. Let D be a subset of C and define the E D is [1,6) then. efi the number f(D) as fllows - f(D) is the sum, for every element i of D, of 2t. the sum, for every element i of D, of 2t. For example, if D is [1,63 then f(D)-21 +26 66 (a) What are f(0), f(H0, 2,5), and f(C)? (b) Is there a D such that f(D) = 6667 If so, find it. (c) Explain why, if D and E are any two subsets of C such that f(D)- f(E), then D E