A student must select two courses in the liberal arts and three courses in the social sciences.There are six liberal arts courses and ten social science courses,all of which are different,from which the student may choose.How many selections are possible?
A) 6
B) 135
C) 750
D) 1800
E) 21,600

Question

Quizplus · Accepted Answer

The number of ways to choose 2 liberal arts courses from 6 is C(6,2) = 15. The number of ways to choose 3 social science courses from 10 is C(10,3) = 120. The total number of selections is the product of these two, 15 * 120 = 1800.

A Student Must Select Two Courses in the Liberal Arts