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As each person can pick any of 3 combinations, the total combinations is 3x3x3, or 27.

However if you consider a 3-way result as a draw (and thus just one result), and in rock-paper-scissors, coming second isn't a result the options are:

1. All players tie

2. Player 1 wins

3. Player 2 wins

4. Player 3 wins

5. Players 1&2 draw

6. Players 2&3 draw

7. Players 1&3 draw

Thus you could claim there are just 7 results.

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