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The correct answer is 50 students.
Since there are four times as many seats in choir as there are in band, we can set up a proportional relationship:
Band seats : Choir seats = 1 : 4
Let x represent the number of band seats. Then, there are 4x choir seats.
The total number of students is the sum of the students in band and choir, which is 250:
x + 4x = 250
5x = 250
x = 50
Therefore, there are 50 band seats available, and 50 students can choose band as their elective.