
Solve
the following problems with the use of a Venn diagram. 
1. 
In
a class of 50 students, 18 take Chorus, 26 take Band, and
2 take both Chorus and Band. How many students in
the class are not enrolled in either Chorus or Band?





2. 
In
a school of 320 students, 85 students are in the band, 200
students are on sports teams, and 60 students participate
in both activities. How many students are involved
in either band or sports?





3. 
A
veterinarian surveys 26 of his patrons. He discovers
that 14 have dogs, 10 have cats, and 5 have fish.
Four have dogs and cats, 3 have dogs and fish, and one has
a cat and fish. If no one has all three kinds of pets,
how many patrons have none of these pets?





4. 
A
guidance counselor is planning schedules for 30
students. Sixteen students say they want to take
French, 16 want to take Spanish, and 11 want to take
Latin. Five say they want to take both French and
Latin, and of these, 3 wanted to take Spanish as
well. Five want only Latin, and 8 want only
Spanish. How many students want French only?





