(A) Using the Borda Count Method of Voting, Determine the an election

$$\begin{array}{l}\text { The preference table below summarizes the results of an election. }\\\begin{array} { l | c c c c } \text { Number of votes } & 1 & 10 & 2 & 9 \\\hline \text { First choice } & \mathrm { H } & \mathrm { W } & \mathrm { T } & \mathrm { G } \\\text { Second choice } & \mathrm { W } & \mathrm { G } & \mathrm { H } & \mathrm { T } \\\text { Third choice } & \mathrm { T } & \mathrm { H } & \mathrm { W } & \mathrm { W } \\\text { Fourth choice } & \mathrm { G } & \mathrm { T } & \mathrm { G } & \mathrm { H }\end{array}\end{array}$$ (a) Using the Borda count method of voting, determine the winner. (b) Does the election violate the majority criterion?