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Australian AMC 2015 - Middle Primary Question 29

AMC AUSTRALIA · Australian AMC 2015 - Middle Primary

Question 29

There are many ways that you can add three different positive whole numbers to get a total of 12. For instance, 1 + 5 + 6 = 12 is one way but 2 + 2 + 8 = 12 is not, since 2, 2 and 8 are not all different.

If you multiply these three numbers, you get a number called the product.

Of all the ways to do this, what is the largest possible product?