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In any case, 56 serves as a loose lower bound on the number of students Beauxbatons is likely to have. This is because their school must have at least as many students as showed up, who were probably distributed relatively evenly among the seventh year and the later half of the first year. Durmstrang has the same limit, since the same number of students attended. Note that each school could have many more students per year than suggested by how many were selected.

In any case, 56 serves as a loose lower bound on the number of students Beauxbatons is likely to have. This is because their school must have at least as many students as showed up, who were probably distributed relatively evenly among the seventh year and the later half of the sixth year. Durmstrang has the same limit, since the same number of students attended. Note that each school could have many more students per year than suggested by how many were selected.

• According to this answer, Hogwarts could have a few hundred students. Let's say they have 600, as JKR has said at one point. If we assume that those students are evenly distributed across seven years, then each year should have about 85 students.
• Only 17-year-olds could compete in the Triwizard Tournament when Harry participated, limiting it to students in their 6th or 7th years at Hogwarts.
• About a dozen students arrived from Beauxbatons:

• According to this answer, Hogwarts could have a few hundred students. Let's say they have 600, as JKR has said at one point. If we assume that those students are evenly distributed across seven years, then each year should have about 85 students.
• Only 17-year-olds could compete in the Triwizard Tournament when Harry participated, limiting it to students in their 6th or 7th years at Hogwarts.
• About a dozen students arrived from Beauxbatons:

Unfortunately, this leads to the conclusion that Beauxbatons has only 8 students per year, giving a total enrollment of 56. Given that France had approximately the same population as Britain in 1994, it seems exceedingly implausible that they would have only a fraction of the students. We are left with a few possibilities.

1. More wizards and witches homeschool in France.
2. France has far fewer wizards than Britain for historical reasons.
3. Students from France go to other wizarding schools.

In any case, 56 serves as a lower bound on the number of students Beauxbatons is likely to have.

Durmstrang has the same limit.

In the films, both schools seem to have about a dozen students.

Unfortunately, taking this as the actual number leads to the conclusion that Beauxbatons has only 8 students per year, giving a total enrollment of 56. Given that France had approximately the same population as Britain in 1994, it seems exceedingly implausible that they would have only a fraction of the students. Certainly this cannot be close to the actual number of eligible witches and wizards in France.

In any case, 56 serves as a loose lower bound on the number of students Beauxbatons is likely to have. This is because their school must have at least as many students as showed up, who were probably distributed relatively evenly among the seventh year and the later half of the first year. Durmstrang has the same limit, since the same number of students attended. Note that each school could have many more students per year than suggested by how many were selected.

In the films, both schools seem to have about a dozen students.