The Condorcet voting model is a preferential ranked voting system. In this model, each voter ranks all candidates in order of preference. A candidate is a Condorcet winner if they are preferred to all other candidates by a majority of voters. Not all elections run under this system produce such a winner, so it is sometimes necessary to instead look for winning coalitions of candidates, called Condorcet-winning sets. In the interests e.g. of forming stable governments, coalitions should be kept relatively small. We therefore study the question of the smallest number of candidates needed to form a winning coalition.