Decoding Top 100 Votes

reasontaipei

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Jul 13, 2019
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Hello everyone, I need help with the following question, any comment towards solutions are greatly appreciated! Shall we?

A country is holding a poll to determine the top 100 restaurants out of its 100 thousand domestic restaurants.

Assuming each restaurant is unique, no chains or franchises, all of them share equal and fair chance of exposure to all customers nationwide.

In the end there were 1 million valid voters, with each voter named 5 restaurants. Say each voter entered 5 non-repeat and valid entries.

Is there a way to estimate: 1. the minimum votes a restaurant needs to be in top 100; 2. how many votes does #1 get?

Look forward to your help, thanks!
 
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