Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony? Choices:  A) 20%  B) 30%  C) 40%  D) 50%  E) 60%
4C1/(6C3/2)   6C3 = 6!/3!3! = 20 sub committees   Michael will be included in 1/2 or 10 of these   If Michael and Anthony are in a 3 person committee together there is only one spot left and 4 people left to fill it.   4C1 = 4!/3! = 4   4/10 = 40%   Ans:30%
<result>B</result>
Anthony and Michael sit on the six-member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?