At Emery ALC there were 200 students taking U-level courses. The distributions of the courses are shown in the table below.

Course	# of Students
Data Management	64
Calculus	40
Functions	51
Calculus and Functions	12
Calculus and Data Management	11
Functions and Data Management	???
Calculus and Data Management and Functions	8
Other U-Level Non Math Courses	75

1. Use the principle of inclusion/exclusion for three sets to determine the number of students who were taking Functions and Data Management.
2. Draw a three set Venn diagram to illustrate the data. Make sure to clearly define all sets and show all regions within the Venn diagram.
3. Determine the probability that a randomly selected student was taking Calculus and Functions and not Data Management.
4. Determine the odds in favour that a randomly selected student did not taking any U-level math courses.
5. Determine the probability that a randomly selected Calculus student is also taking Functions but not Data Management.
6. Determine the odds against that a randomly selected student who did not take Calculus is taking Data Management.