In the equation ()() + ()(), each blank must be filled with one of the digits 1, 2, 3, or 4, using each digit exactly once. How many unique results can be achieved?

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Official Explanation

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In the equation (__)*(__) + (__)*(__), we can fill in the blanks with the digits 1, 2, 3, and 4, each used once. The possible combinations yield the following results: 1*2 + 3*4 = 14, 1*3 + 2*4…

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What this question tests

What it tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Common trap

Applying the order of operations out of sequence or rounding intermediate values before the final step.

In the equation (__)*(__) + (__)*(__), each blank must be filled with one of the digits 1, 2, 3, or 4, using each digit exactly once. How many unique results can be achieved?