Any board of education offering instruction, to residents and nonresidents of the district beyond the twelfth grade, under rules, approved by the commissioner and the state board, may charge tuition for such instruction and any board of education, not furnishing such instruction, may arrange for the attendance, and pay the tuition fees, in whole or in part, of pupils, resident in its district, who desire to obtain such instruction.
N.J.S. § 18A:38-18