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Question 6

Look at the set of numbers $$2,3,5,7,8,10,12$$. Four numbers are selected from this and made into two pairs. The pairs are added and the resulting two numbers are multiplied. The smallest such product is

Solution

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To minimize the product, choose the four smallest numbers $$2,3,5,7$$ and pair them as $$2+3$$ and $$5+7$$. Their product is $$5\times12=60$$, which is the smallest possible value.

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