## Letter Product

#### Problem

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

#### Solution

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

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