In: Statistics and Probability
Using the demographic information in the table below, consider the following scenario: A teacher chooses a student to dim the lights and a student to shut the door. In how many ways can the teacher do this if a student may do both jobs and:
| Total number of students in the class | 50 | 
| Number of Boys | 35 | 
| Number of girls | 15 | 
| Number of freshman | 22 | 
| Number of sophomores | 13 | 
| Number of juniors | 9 | 
| Number of seniors | 6 | 
| Number of education majors | 7 | 
| Number of non-education majors | 43 | 
a. Both are girls?
b. One is a boy and one is a girl?
c. At least one is a boy?
d. The door closer is a boy?
e. Neither are seniors?
f. Neither are education majors?