Question: Problem 2. While watching the Roth Regatta, Alice maintained a checklist to decide on their favorite boat of the competition: (i) Did the boat

Problem 2. While watching the Roth Regatta, Alice maintained a checklist to decide on their favorite boat of the competition: (i) Did the boat use black duct tape? (ii) Did the boat have a mascot on its bow? (iii) Did the boat survive the race? They made the following observations: A total of 35 boats participated in the race. The number of boats that ticked (i) or (ii) was 25. The number of boats that ticked (i) and (ii) was 13. The number of boats that ticked (i) and (iii) was 6. 20 boats ticked (i). 8 boats did not tick any box. Every boat that ticked (ii) and (iii) also ticked (i). The number of boats that did not tick (ii) or (iii) was 14. How many boats ticked all three boxes?

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