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What is the total number of hotel rooms in New York City?

Approach / Explanation

This interview question is an example of a Fermi problem, which requires you to make a reasonable estimate using logical assumptions and straightforward calculations instead of knowing the exact figure. The goal is not to determine the exact number of hotel rooms but to evaluate your problem-solving abilities and how you decompose complex issues into manageable components. To begin your estimation, you might consider elements such as the total number of hotels in New York City (NYC), the average number of floors per hotel, and the average number of rooms on each floor. Keep in mind that this is a significant simplification, as many factors would actually influence the outcome.

Suggested Answer

To estimate the total number of hotel rooms in New York City, we can start by approximating the number of hotels present in the area. Let’s assume there are approximately 1,000 hotels in NYC. Next, we can estimate the average number of floors in each hotel, which I would estimate to be around 10. We should also consider the average number of rooms on each floor, likely around 20 rooms per floor. Therefore, an average hotel might have about 10 floors multiplied by 20 rooms, resulting in approximately 200 rooms per hotel. If we multiply this by our initial estimate of 1,000 hotels, we arrive at an approximate total of 200,000 hotel rooms in New York City.

Alternative Answer

That's a challenging question. To estimate the number of hotel rooms in NYC, we can start by dividing the problem into smaller components. For instance, let's assume there are approximately 500 blocks in Manhattan, with one hotel per block, resulting in 500 hotels. Next, we need to evaluate the size of these hotels. Assuming each hotel has around 15 floors and each floor contains about 15 rooms, the total number of rooms would be calculated as 500 hotels * 15 floors/hotel * 15 rooms/floor = 112,500 rooms. However, this figure is likely an underestimate since it doesn't factor in other boroughs or the possibility of multiple hotels on a single block. Hence, it's reasonable to adjust this estimate to about 250,000 to account for these considerations. This approach illustrates how to decompose a problem into smaller elements and address each one methodically.

Question Details

Difficulty & Category

Medium
estimation

Companies

Expedia

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