9) Let S be the set of all words contained in the Australian Pocket Oxford Dictionary. For example: two elements of S are the words 'cortisone' and 'hemlock'. Let L : S > Z be the length function, such that: L(s) = the number of characters in 3, Vs E 3. Let R : Z > {0,1,2,3,4, 5, 6,7} : T(n) = n mod 8, Vn E Z. For example: T(5) = 5 mod 8 = 5 and T(25) = 25 mod 8 = 1. 1) Find L(billabong). ii) Find T(20). iii) Find (T o L)(batrachian)