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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:
The number of friends that like Countryside Sightseeing is ____
Correct Answer: 4
Each friend likes a non-empty subset of {Countryside (Co), Shopping (Sh), Adventure (Ad)} — 7 possible subsets in all.
Who likes Countryside? D (only Co), C (all three), and the two of A/B/E whose 2-element subset contains Co (namely {Co,Sh} and {Co,Ad}). The third A/B/E (with {Sh,Ad}) does not. Total = 4.
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