There are 9 books on a shelf that consist of 3 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book? Choose the correct choice from the following
A) 95  B) 103  C) 111  D) 119  E) 127
The total number of ways to select 4 books is 91114 = 126   The number of ways which do not include any paperbacks is 61114 = 15   The number of combinations with at least one paperback is  126-15= 
<gadget id="calculator"> 126-15</gadget>
<output>111</output>
111   The answer is 111.
<result>C</result>
There are 9 books on a shelf that consist of 3 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?