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UKMT Pink Kangaroo, 2023

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

In how many different ways can the word BANANA be read from the following table by moving from one cell to another cell with which it shares an edge? Cells may be visited more than once. $\begin{array}{|c|c|c|}\hline B & A & N\\\hline A & N & A\\\hline N & A & N\\\hline\end{array}$

(A) $14$ (B) $28$ (C) $56$ (D) $84$ (E) $112$

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