Three teachers were assigned to four poor villages to investigate the implementation of compulsory education. If there are at most two teachers in each village, what are the different distribution methods? Mathematical problems of multiplication principle

Thought: The total distribution method minus the distribution method in which three teachers are assigned to the same village is the answer.

Total score distribution method = 4×4×4 = 64 (each teacher chooses a village, and each teacher has four kinds, because it is not allowed to go to the same village).

Three teachers are assigned to the same village = 4 (binding method)

Answer: 64-4=60 distribution methods