Out of 32 students in a finite math class, 20 are male, 20 are business majors, 22 are first-year students, 13 are male business students, 16 are male first-year students, 14 are first-year students who are business majors, and 10 are male first-year business majors.
a) How many upperclass female nonbusiness majors are in the class?
b) How many female business majors are in the class?