A history class is comprised of 7 female and 8 male students. If the instructor of the class randomly chooses 8 students from the class for an oral exam, what is the probability that 6 female students and 2 male students will be selected?
7 female and 8 male students
P(6 female and 2 male student)
6 female students can be chosen in 7 ways because any individual one of the 7 girls can be left out.
also because 7C6=7
2 students can chose from the 8 males in 8C2 = 28
so the number of ways that 6 girls and 2 boys can be chosein is 7*28 = 196
So the number of ways that any 8 students can be chosen from 15 students is 15C8 = 6435
P(6 female and 2 male student) = 196/ 6435