There are 8 books on a shelf, of which 3 are paperbacks and 5 are hardbacks. How many possible selections of 4 books from this shelf include at least one paperback?
Choose the most appropriate option:
A) 40
B) 45
C) 50
D) 55
E) 65

Rationale: approach 1 at - least 1 paper back = total - no paper back 8 c 4 - 5 c 4 = 65 approach 2 at - least 1 paper back = 1 paper back , 3 hard back or 2 paper back 2 hard back = 3 c 1 * 5 c 3 + 3 c 2 * 5 c 2 + 3 c 3 * 5 c 1 = 65 answer is e
Answer: E