Including Cara and Dan, there are six members on the board of directors for a company. If the board is to be split up into a four-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?	Choose the correct answer:	A) 3/5	B) 4/5	C) 3/10	D) 7/10	E) 11/20
The number of possible subcommittees with Cara is 5C3=10.   The number of possible subcommittees with Cara and Dan is 4C2=6.   The fraction of Cara's subcommittees which include Dan is 6/10=3/5.   The answer is 3/5.
<result>A</result>
Including Cara and Dan, there are six members on the board of directors for a company. If the board is to be split up into a four-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?