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Australian AMC 2020 - Senior Question 26

AMC AUSTRALIA · Australian AMC 2020 - Senior

Question 26

A different integer from 1 to 10 is placed on each of the faces of a cube. Each vertex is then assigned a number which is the sum of the numbers on the three faces which touch that vertex.
Only the vertex numbers are shown here.
What is the product of the 4 smallest face numbers?

Question illustration