A club with a total membership of 30 has formed 3 committees: M, S, and R, which have 8, 12, 5 members, respectively. If no member 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?
Please help me with this one!
i also get D.10
using a Venn diagram would be helpful
only M = 8 (since no overlap with the other two)
for R = 5 (but all 5 members are also in S)
for S = 7
R&S = 5
30-8-5-7 = 10 in none