A book publisher evaluates 12 different textbooks by sending them to a number of teachers. (a) If they ask the teachers to review all 12 books and list their 5 favourite books in order, how many different lists are possible? (b) If they ask the teachers to review all 12 books and select their 5 favourite books, how many different selections are possible? (c) The 12 textbooks consist of 3 paperback and 7 hardcover. (i) If they ask teachers to list their 5 favourite books, how many different lists include all 3 paperback textbooks? (ii) If they ask teachers to select their 5 favourite books, how many different selections include all 3 paperback textbooks