Let S = {1,2,3,4,5,6,7,8}. Determine:
(a) The number of subsets of S
(b) The number of subsets of S with at most four elements
(c) The number of ordered lists with elements chosen form S (with possible repititions)
(d) The number of ordered lists with nine elements chosen form S with no repititions
(e) The number of element multisets chosen from S.