All the students attend the competition and exactly 2 freshmen win prizes.

⁴C₃*¹⁴C₃*6!

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⁴C₄*¹⁴C₂*4!

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⁴C₂*¹⁴C₄*6!

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⁴C₁*¹⁴C₅*6!

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Solution

The correct option is C
⁴C₂¹⁴C₄6!

The number of orders in which all the students attend the competition and exactly 2 freshmen win prizes = $^{4} C_{2} \times^{14} C_{4} \times 6!$

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