A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?	Choose the correct choice from the following options.
A) 5
B) 7
C) 8
D) 10
E) 12
{total} = {M} + {S} + {R} - {Both} + {Neither}   We want to maximize Neither, so Both has to be as large as possible. The max of {Both} is 5 because {R} = 5.   30 = 8 + 12 + 5 - 5 + Neither   Neither = 10   ANSWER:10
<result>D</result>
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?