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Electronic voting is an important application for security protocols. Most existing voting schemes are designed for elections in which each voter has only one ballot. However, some elections permit voters to cast multiple ballots. In this paper, we present a new voting scheme in which each voter can have multiple ballots, and can vote for multiple candidates. The proposed scheme allows the voter to simply pick their candidates and post a single encrypted message. Anonymous distribution of secret information is used so that no one knows which information is being passed to whom.