Suppose there are three individuals, Boris, Maggie, and William. They are using majority rule to decide among themselves whether to go hiking in the wilderness this weekend \((\mathrm{H})\), kayaking in the river \((\mathrm{K})\), or birdwatching, looking for rare Dodos (D). Boris likes hiking best and Dodo watching worst; Maggie likes Dodos best and Kayaking worst; William likes kayaking best and hiking worst. Unfortunately, they must all do the same activity (for insurance reasons). They vote on alternatives pairwise (e.g., \(\mathrm{H}\) vs. \(\mathrm{K}\); then the winner against \(\mathrm{D}\), etc.). Which choice will emerge as the group's choice? Can you help them with their choice?