There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 40
(B) 46
(C) 50
(D) 55
(E) 60 Think first, then make a decision. Some random thoughts:
8C3 [Select any four] -5C3 [Select all hard backs] = 46 So the answer is (B).