Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a five-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Pick one:
A) 3/5	B) 5/6	C) 4/5	D) 3/4	E) 2/3
The number of possible subcommittees with Cara is 6C4=15.   The number of possible subcommittees with Cara and Dan is 5C3=10.   The fraction of Cara's subcommittees which include Dan is 10/15=2/3.   The answer is 2/3.
<result>E</result>
Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a five-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?