Leela went to a small garment store with her son. She wanted to buy an outfit for him. In the
garment store, she found two types of shirts: Formal and Denim. There were 3 choices for
formals and 4 choices for denims. There were two types of pants: Jeans and Formal, with 2
choices for each of them.

Question 18
If any shirt can be worn with any pair of pants, the number of ways Leela can select an outfit
for her son are
a) 20
b) 24
c) 26
d) 28

Question 19
Leela decides to select either a formal shirt with a pair of formal pants (not with jeans) or a
denim shirt with a pair of jeans (not with formal pants). The number of ways she can select the
outfit now are
a) 12
b) 14
c) 16
d) 20

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.