Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take with him on a trip if he has room for only 1 large book?  Select
A) 56	B) 126	C) 152	D) 196	E) 252
5 Small books out of 8 AND 0 large book out of 2 books   OR   4 Small book out of 8 AND 1 large book out of 2 books   We know AND represents multiplication and OR addition;   Thus; to convert the above statement into combinations:   first select 5 books i.e. 10C5 and then subtract the remainder i.e. All big + 3 small   10C5 - 8C3 = 196   Ans: "196"
<result>D</result>
Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take with him on a trip if he has room for only 1 large book?