Henry Ernest Dudeney/Puzzles and Curious Problems/262 - A Monmouth Tombstone

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Puzzles and Curious Problems by Henry Ernest Dudeney: $262$

A Monmouth Tombstone
In the burial ground attached to St. Mary's Church, Monmouth, is this arrangement of letters on one of the tombstones.


$\qquad \begin{array} \\ E & I & N & E & R & N & H & O & J & S & J & O & H & N & R & E & N & I & E \\ I & N & E & R & N & H & O & J & S & E & S & J & O & H & N & R & E & N & I \\ N & E & R & N & H & O & J & S & E & I & E & S & J & O & H & N & R & E & N \\ E & R & N & H & O & J & S & E & I & L & I & E & S & J & O & H & N & R & E \\ R & N & H & O & J & S & E & I & L & E & L & I & E & S & J & O & H & N & R \\ N & H & O & J & S & E & I & L & E & R & E & L & I & E & S & J & O & H & N \\ H & O & J & S & E & I & L & E & R & E & R & E & L & I & E & S & J & O & H \\ O & J & S & E & I & L & E & R & E & \mathbf H & E & R & E & L & I & E & S & J & O \\ H & O & J & S & E & I & L & E & R & E & R & E & L & I & E & S & J & O & H \\ N & H & O & J & S & E & I & L & E & R & E & L & I & E & S & J & O & H & N \\ R & N & H & O & J & S & E & I & L & E & L & I & E & S & J & O & H & N & R \\ E & R & N & H & O & J & S & E & I & L & I & E & S & J & O & H & N & R & E \\ N & E & R & N & H & O & J & S & E & I & E & S & J & O & H & N & R & E & N \\ I & N & E & R & N & H & O & J & S & E & S & J & O & H & N & R & E & N & I \\ E & I & N & E & R & N & H & O & J & S & J & O & H & N & R & E & N & I & E \\ \end{array}$


In how many different ways can these words "$\text{HERE LIES JOHN RENIE}$" be read,
starting at the central $H$ and always passing from one letter to another that is contiguous?


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Sources

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