Too Many Names Answer

The Greek and History combination has 6 students.

The French and Greek combo must be 3, otherwise the French and History combo would be greater than the number taking French and English.

If x equals the number taking English and History, then the number taking English and Greek = 5 - x. The number taking Greek and History = 3 + x.

Therefore, 5 + 2x = 11 (the number taking History). Then x = 3. The number taking Greek and History = 6.