How many combinations of students are possible if the group is to consist of exactly 2 freshmen?

20745

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16350

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13650

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20475

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Solution

The correct option is D
20475

We need 2 freshman and 4 students from other classes. So the number of combinations of students possible if the group is to consist of exactly 2 freshmen = $^{6} C_{2} *^{15} C_{4}$ =20475

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