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The teacher made the children 7~ 12 responsible for cleaning. How many people are there in all?
Six people.

Assuming that the minimum age of cleaning is A, the maximum age is B, and the range of cleaning is from A to B, then the number of people cleaning is b-a+ 1. In this problem, a = 7 and b = 12. Using mathematical formula, we can express it as: number of people = b-a+ 1. Now we will use this formula to calculate the number of people. The calculation result is: there are 6 children in the cleaning room.