Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible
2026-03-27 15:20:04.1774624804
Does the question mean she will do all 3 sports on one day in the week, or if she will do all 3 sports in a week, but individually on different days
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Simply put. She has 8 slots (marked as X below):
X X X X X X X X
1st condition: She must do all sports for at least 1 day (a complicated way of saying she has to do all sports at least once):
2nd condition: She can't do different consecutive water sports (a complicated way of saying she can't do kayaking or sailing in a row (KS or SK). So example solutions are as below:
K L S L K L K L
This fits both conditions