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Letter Product

Problem

Let a = 1, b = 2, c = 3, ... , z = 26. What is the exact value of (x minus a)(x minus b)(x minus c)...(x minus z)?


Solution

As one of the factors is (x minus x), the value of the product must be zero!

Problem ID: 88 (Nov 2002)     Difficulty: 2 Star

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