Arithmetic puzzles are Mad Libs for math: fill in the blanks with numbers or operations to make the equation true.

How many different 3-tuples \((\square,\triangle,\star)\) of operators make the following equation true: \[6 \, \square \, (3 \, \triangle \, 2)=1 \, \star \, 1?\]

**Details and Assumptions**

- \(\square,\triangle,\star\) can be one of the four arithmetic operators: \(+,-,\times,\div.\)
- One kind of operator can be used more than once.

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