There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. How many possible selections of 3 books from this shelf include at least one paperback?  Choose the correct choice from the following answers
A) a) 40  B) b) 45  C) c) 36  D) d) 55  E) e) 60
approach 1   at-least 1 paper back = total - no paper back   8c3-6c3 = 36   approach 2   at-least 1 paper back = 1 paper back , 3 hard back or 2 paper back 2 hard back   = 2c1*6c2+2c2*6c1 = 36   Answer is c) 36
<result>C</result>
There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. How many possible selections of 3 books from this shelf include at least one paperback?