All students attend the competition and the winners are exactly 3 freshmen and 3 sophomores.

56700

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54700

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57600

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58700

No worries! We‘ve got your back. Try BYJU‘S free classes today!

57900

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Solution

The correct option is C
57600

The number of orders in which all the students attend the competition and exactly 3 freshmen and 6 sophomores win prizes = $^{4} C_{3} \times^{6} C_{3}$ $\times$ 6! = 57600.

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Similar questions

All students attend the competition and the winners are an equal number of freshmen, sophomores and juniors.

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

All students attend the competition and the winners are all members of the same class.

How many combinations of students are possible if the group is to consist of an equal number of freshmen, sophomores, and juniors?

2 : 3

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