So because 12 people take part in math and English at the same time, only (12-X) people take part in math and English at the same time
Similarly, the number of people who only take English and Chinese is (14-X).
The number of people who only take math and Chinese is (10-X).
The number of people who only take math English language is set to? Answer? 、B？ 、C
Look at the circle of mathematics first: A+? 12-X？ +? x？ +? 10-X？ =? 32
Look at the English circle again: B+？ 12-X？ +? x？ +? 14-X？ =? 27
Look at the circle of Chinese again: C+? 10-X？ +? x？ +? 14-X？ =? 22;
Simplify the above three equations and add them to get the result.
A+B+C？ =? 9+3X，
As can be clearly seen from the figure, the total number of students in this class is:
A+？ b？ +? c？ +? 12-X？ + 10-X？ +? 14-X？ +X？ =? a+B+C+36-2X；
Substitute A+B+C=9+3X into the above formula to get the class size? :?
9+3X+36-2X？ =? 45+X, because x is not less than 0, so the minimum value is when X=0, that is, no one has three classes at the same time, so the minimum number of students is 45.
Answer: 45