Set Theoryhard
0:00.0
A university committee consists of 100 members. Each member serves on at least one of three subcommittees: Finance (F), Academics (A), or Operations (O).
- 60 members are on Finance.
- 50 members are on Academics.
- 40 members are on Operations.
- 25 members are on both Finance and Academics.
- 20 members are on both Academics and Operations.
- 15 members are on both Finance and Operations.
If the number of members on exactly one subcommittee is 6 times the number of members on all three subcommittees, how many members are on all three subcommittees?
A university committee consists of 100 members. Each member serves on at least one of three subcommittees: Finance (F), Academics (A), or Operations (O).
- 60 members are on Finance.
- 50 members are on Academics.
- 40 members are on Operations.
- 25 members are on both Finance and Academics.
- 20 members are on both Academics and Operations.
- 15 members are on both Finance and Operations. If the number of members on exactly one subcommittee is 6 times the number of members on all three subcommittees, how many members are on all three subcommittees?