MathNet 2008-part-02 — 165 problems (EN–VI) Question 66

In how many ways can the digits $1$, $2$, $4$, $7$ and $9$ be arranged so that they form a five-digit number divisible by $11$?

(A) $0$
(B) $1$
(C) $10$
(D) $12$
(E) $24$.