There are 8 books on a shelf that consist of 3 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Choose the correct choice from the following options.
A) 35  B) 45  C) 50  D) 55  E) 65
The total number of ways to select 4 books is 8C4 = 70   The number of ways which do not include any paperbacks is 5C4 = 5   The number of combinations with at least one paperback is  70-5= 
<gadget id="calculator"> 70-5</gadget>
<output>65</output>
65   The answer is 65.
<result>E</result>
There are 8 books on a shelf that consist of 3 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?