Difficult# Test Scores of Boys and Girls

SATMAT-TREKJS

Washington Elementary School has a policy requiring that each classroom must contain an equal number of male and female students, and that each class must contain at least $12$ students, but no more than $28$ students.

On a recent standardized test, the scores of all of the students from a certain class were listed from the highest score to the lowest score. If the highest $4$ scores were achieved by female students, the $4th$ lowest score was a female's score, and the lowest $3$ scores were from male students, then which of the following conclusions must be true?