A math contest consists of 9 objective type questions and 6 fill in the blanks questions. From a school some number of students took the test and it was noticed that all students had attempted exactly 14 out of the 15 questions. Let $$O_1, O_2, \ldots, O_9$$ be the nine objective type questions and let $$F_1, F_2, \ldots, F_6$$ be the six fill in the blanks questions. Let $$a_{ij}$$ be the number of students who attempted both questions $$O_i$$ and $$F_j$$. If the sum of all the $$a_{ij}$$, for $$i = 1, 2, 3, \ldots, 9$$ and $$j = 1, 2, 3, \ldots, 6$$, is 972, then find the number of students who took the test in the school.