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22 Why do we freeze when exams ask us to sum permutations instead of counting them?

In quantitative aptitude tests, we are often conditioned to calculate the total number of possible arrangements. However, a major tension arises when an exam asks us to find the actual sum of all those combinations under strict inequality limits.To solve this, we must break down the problem by analyzing how strict boundaries simplify our choices. For instance, when constructing four-digit numbers less than two thousand using digits one, two, three, and four, the thousands digit is locked to one. This simple lock reduces a massive list of combinations down to just six actual numbers, which can…

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