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- How many combinations of students are possible if the group is to consist of exactly 3 freshmen?
Question 1:
How many combinations of students are possible if the group is to consist of exactly 3 freshmen? A. 5000
B. 4550
Feedback Here we need the number of possible combinations of 3 out of 5 freshmen,5C3, and the number of possible combinations of 3 out of the 15 sophomores and juniors,15C3. Note that we want 3 freshmen and 3 students from the other classes. Therefore, we multiply the number of possible groups of 3 of the 5 freshmen times the number of possible groups of 3 of the 15 students from the other classes. 5C3×15C3=4,550.
C. 4000
D. 3550
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