They did that in Big Brother 8 and it sounds so confusing:
Quote:
In the previous series of Big Brother, housemates nominated two other housemates for eviction and viewers then voted to actually evict. In this season the nominations were based on viewer votes collected through the week. The public were only able to vote for which housemate to save from eviction. The three housemates with the least amount of save votes were nominated for eviction on Sunday. The housemates then voted to evict one of these three. Housemates gave two points to one person they want evicted, and one point to another of the three. The winner of Friday Night Games had the power to remove one nominated housemate from the nomination lineup, after which the housemate(s) in fourth place moved into the nomination lineup. In awarding eviction points, the winner could award four points to one person, and two points to another. After five weeks, the nomination and eviction process reverted to the traditional format of all previous seasons: the housemates nominate, and viewers vote for the housemate to be evicted. Unlike the preceding few seasons, there was no save vote for nominated housemates; viewers could only vote to evict. At the start of the season, Big Brother announced to the housemates that "snap evictions" will be executed at various points during the season. Terri was evicted on the first night in what was described as a "snap eviction", but she was soon returned to the house. Two of the three viewer-voted housemates, Barney and Michael, were quickly removed in what was described by the show's makers as a "snap eviction". In the final week, housemates were asked to vote to evict two housemates in a surprise "snap eviction". Alice and Travis were "evicted" and moved to another section of the compound. Later, it was revealed to Alice and Travis, and then the other housemates, that this eviction was fake and Alice and Travis returned to the main House.
https://en.wikipedia.org/wiki/Big_Br..._voting_format
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The dual vote of VTE/VTS was used during both Big Brother 6 & Big Brother 7 - and it's much simpler. Viewers use both voting methods and once the voting's closed the percentages from both are merged. Then the person with the least votes to save or highest amount of votes to evict after the merge is evicted.