Use the Plurality Method to Determine the Winner of the Election

Use the plurality method to determine the winner of the election summarized in the following preference table. Has the head-to-head comparison criterion been violated?

$\begin{array}{l|ccccc}\text { Number of votes } & 8 & 10 & 2 & 4 & 3 \\\hline \text { First choice } & \text { B } & \text { A } & \text { A } & \text { C } & \text { B } \\\text { Second choice } & \text { A } & \text { B } & \text { C } & \text { A } & \text { C } \\\text { Third choice } & \text { C } & \text { C } & \text { D } & \text { B } & \text { A } \\\text { Fourth choice } & \text { D } & \text { D } & \text { B } & \text { D } & \text { D }\end{array}$