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How many combinations of students are possible if the group is to consist of exactly 3 freshmen?

A.5000
B.4550
C.4000
D.3550
Answer and Feedback
Answer:B
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.

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Practice Permutations Online Test 2 | Englishfreetest.com

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