Group Games Questions - - Question 13

If Hannah spends exactly eight days in the cities of country X, then which one of the following CANNOT be true?

kjmc11 March 9, 2022

There is no limit on the amount of days she can spend somewhere?

In question one she only has to spend at least two days per city. That means in country x she could do 2 cities 4 days each; 2 cities one 3 days and one 5 days and vice versa; or she could do 3 cities 2, days, 2 days, 4 days; or 4 cities 2 days each; and lastly one city 6 days and the other 2 days. That still leaves 6 days to hangout in at least one city in each country Y and Z. She could spend 2 days each in two cities in Y and 2 days in one city in Z, and vice versa. She could spend 3 days in one city in Y and 3 days in one city in Z. None of these rules have been broken, or am I mistaken?

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Emil-Kunkin March 11, 2022

Hi KJMC,

You're right that there are no constraints on how long she spends in each city- but remember that she has to visit exactly six cities. If she only visited two cities in X (let's say 4 days in each), she would have only 6 days left to visit 4 cities- which is impossible given that she needs to spend two days in each city.