Number of order conditions?

Assume the number of levels of the independent variable goes up and you want to completely counterbalance. What will happen to the number of order conditions you'll need?

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Possible Answers

The number remains workable. You will not lose the benefit of running fewer subjects in a repeated measures design. An independent variable with \(n\) levels will just have \(2 * n\) order conditions.
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The number becomes really large. An independent variable with \(n\) levels will have \(n * n\) order conditions.
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The number becomes really large. An independent variable with \(n\) levels will have \(n! = n * (n-1) * (n-2) * ...\) order conditions.
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