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What is the correct sequence if T dances sixth but only if P dances third?

  1. P, D, F, B, K, T, S, J, A

  2. K, S, J, T, P, D, A, F, B

  3. S, J, K, F, D, B, T, P, A

  4. A, K, F, D, P, T, S, J, B

The correct answer is: K, S, J, T, P, D, A, F, B

In the given scenario, we know that T must dance sixth and P must dance third. This means that P cannot dance anywhere except in the third position, and T cannot dance anywhere except in the sixth position. Looking at answer choice B, we see that it correctly places P in the third position and T in the sixth position, satisfying the conditions given in the question. Therefore, answer choice B is the correct sequence. Now, let's briefly examine the other answer choices: - Answer choice A does not place T in the sixth position as required. - Answer choice C does not place T in the sixth position as required and also does not place P in the third position. - Answer choice D does not place T in the sixth position as required and also does not place P in the third position.