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If A is in the fourth position and B is in the seventh position, how is this condition represented in formal logic?

  1. A₄ --> B₇

  2. B₇ --> A₄

  3. A ̰₄ --> B ̰₇

  4. B ̰₇ --> A ̰₄

The correct answer is: A₄ --> B₇

In formal logic, conditional statements are typically represented as "if-then" statements. Therefore, the correct way to represent the condition where A is in the fourth position and B is in the seventh position is by stating it as "If A is in the fourth position, then B is in the seventh position," which translates to A₄ --> B₇. This notation indicates that the presence of A in the fourth position implies the presence of B in the seventh position. The other options are incorrect because they do not accurately capture the relationship between A being in the fourth position and B being in the seventh position as a conditional statement.