There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 5 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?	Pick one
A) 85
B) 95
C) 105
D) 115
E) 125
The total number of ways to select 5 books is 91055 = 126   The number of ways which do not include any paperbacks is 71055 = 21   The number of combinations with at least one paperback is  126-21= 
<gadget id="calculator"> 126-21</gadget>
<output>105</output>
105   The answer is 105.
<result>C</result>
There are 9 books on a shelf that consist of 2 paperback books and 7 hardback books. If 5 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?