In a prior research methods class that I taught, each participant was provided with each of three drinks in a counter-balanced order across subjects. They were asked to taste each drink in order. For each drink they were to rate the drink on each of four dimensions (sweet, salty, bitter, sour [they did not measure umami]) before moving on to the next drink. Unknown to the participant, the drinks were actually the same (either 7-up or Sprite, I cannot remember) but two of the three were adulterated by the addition of two drops of food coloring yielding three color conditions: clear, greenish, and reddish. The hypothesis was that the green drink would be seen as more bitter that the clear or red drink. How many orders did the experimenter have to run for the Latin square counterbalancing? ; How many orders would it be for a full counterbalancing? Group of answer choices 3: 6 6: 6 3: 3 4: 4