A high school choir has 27 female and 19 male members. Two students will be selected from the
choir to represent the school in the All-State Choir.
a) In how many ways can the director select two students if she decides both students will be
female?
b) In how many ways can the director select two students if she decides both students will be
male?
c) In how many ways can the director select two students?
d) Using your answers from a), b) and c), determine how many ways the choir director can select
two students such that one student will be a male and one student will be a female?