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Question 4

Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that:

  • No two friends like exactly the same set of activities.
  • A, B and E like exactly two activities each.
  • D likes only Countryside Sightseeing.
  • C likes more number of activities compared to D.

The number of friends who like both Shopping and Adventure Sports is ____


Correct Answer: 2

From the same setup as Q.2: D = {Co}; A, B, E cover {Co,Sh}, {Co,Ad}, {Sh,Ad}; C = {Co, Sh, Ad}.

Both Shopping AND Adventure are liked by:

  • The friend among A/B/E whose 2-set is exactly {Sh, Ad} (1 person)
  • C (likes all three)

Total = 2.

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