Grades for first semester are compared to those for second semester. The five one-semester courses biology, chemistry, English , history, and psychology must be taken next year.
(a) Make a list of all possible ways to split the courses into two groups where the first group has two courses to be taken the first semester and the second group h as three courses to be taken the second semester.
(b) Confirm that the number of ways on your list is given by the rule of combinations 5 choose 2.