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Problem 338

Combinatorics Difficulty 2.0 Find the answer CEMC Pascal · Canada · 2005

The digits 1, 2, 5, 6, and 9 are all used to form five-digit even numbers, in which no digit is repeated. The difference between the largest and smallest of these numbers is

(A) $83\,916$ (B) $79\,524$ (C) $83\,952$ (D) $79\,236$ (E) $83\,016$

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