A contract for a private school is usually non-refundable for a purpose. Without seeing the contract to determine how it reads, I will give you my best educated guess here.
The school has a limit to the number of entrants. The school needs 100% tuition to operate. If the school makes an exception for every person that wants to get out the contract (absent fraud, coercion etc..) then the school cannot function.
Hire a lawyer. Have the lawyer assess the language of the contract to determine your rights and obligations.