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2017 InIMC keystage2-EMIC team Question 8

xIMC · 2017 InIMC keystage2-EMIC team

Question 8

The integers from 1 to 7 are to be placed in the seven circles in the diagram. In each of the three triangles drawn, the sum of the three numbers is the same. One of the numbers, namely 4, is given. Find the number of different ways of placing the other six numbers?

Question illustration