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Read the following information carefully and answer the question based on that.

Two teams of five each must be selected from a group of ten persons. $\text{A}$ through $\text{J}$ of which $\text{A, E}$ and $\text{G}$ are doctors; $\text{D, H}$ and $\text{J}$ are lawyers; $\text{B}$ and $\text{I}$ are engineers; $\text{C}$ and $\text{F}$ are managers. It is also known that

  1. every team must contain persons of each of the four professions
  2. $\text{C}$ and $\text{H}$ cannot be selected together.
  3. $\text{I}$ cannot be selected into a team with two lawyers.
  4. $\text{J}$ cannot be in a team with two doctors.
  5. $\text{A}$ and $\text{D}$ cannot be selected together.

If $\text{F}$ and $\text{G}$ are in the same team, which among the following statements is true?

  1. $\text{B}$ and $\text{H}$ will in the other team
  2. $\text{E}$ and $\text{I}$ must be in the same team
  3. $\text{H}$ must be in the same team but $\text{B}$ must be in the other team
  4. $\text{C}$ must be in the other team but $\text{D}$ must be in the same team
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