alohagirl wrote:

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?

A. 5

B. 7

C. 8

D. 10

E. 12

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