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Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different  music composers. No dancer performed her second item before the performance of the first item by any other dancers.The dancers performed their second items in the same sequence of their performance of their first items.

The following additional facts are known.

  1. No composer who assigned item to Princess, assigned any item to Queen.
  2. No composer who assigned item to Rani, assigned any item to Samragni.
  3. The first performance was by Princess; this item was assigned by Badal.
  4. The last performance was by Rani; this item was assigned by Gagan.
  5. The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.

Which of the following is true?

  1. The second performance was composed by Dyu
  2. The third performance was composed by Ashman
  3. The second performance was composed by Gagan
  4. The third performance was composed by Dyu
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