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Answer the questions based on the information given below:

K, L, M, N, P, Q, R, S, U and W are the only ten members in the department. There is a proposal to form a team from within the members of the department, subject to the following conditions.

  • A team must include exactly one among P, R and S.
  • A team must include either M or Q, but not both.
  • If a team includes K, then it must also include L and vice versa.
  • If a team includes one among S, U and W, then it must also include the other two.
  • L and N cannot be the members of the same team.
  • L and U cannot be the members of the same team.
  • The size of the team is defined as the number of members in the team.

What would be the size of largest possible team?

  1. $8$
  2. $7$
  3. $6$
  4. $5$
  5. cannot be determined
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