In a country, there are n farms and in each farm, there are at most 15 types of fruit trees. For any three of the farms, it's certain that two of them have the same type of fruit tree. What is the minimum number of n to guarantee that 69 different farms have the same type of fruit tree?

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Q: In a group of 100 people, each people needs to choose a number from 100 to 120. i)Prove that at…

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Q: snip

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