JP Morgan Interview Solved! | Quant Interview Questions #6
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- Опубліковано 18 вер 2024
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Step-by-step walkthrough of a technical interview question involving an application of combinatorics to find the number of unique paths across a 3x3 cube
Suitable for Quant Trading, Quantitative Researcher, Quantitative Developer, Desk Quant and Data Scientist technical interviews
Question:
If you are in a 3D space, how many ways can you go from (0,0,0) to (3,3,3) if you can only move at a step size of 1 in only up, right, forward direction?
Timestamps:
0:00 - Intro
Free Resources:
Free Excel List of Firms Google Drive: shorturl.at/vMUX8
Question Source:
[Probability Interview 5] Moving in 3D space (JP Morgan):
• [Probability Interview...
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A better question would be if you can only walk on the surface, not inside the cube. What would be your answer?
sorry to disturb if you think it is fine to answer [do you think ai will be lessening the quant research or any quant role since use of machine learning is similar.
Not at all @ujjawalgupta668 Quite the opposite, I think AI ( this is an incredibly broad umbrella by the way) will complement most knowledge-based job roles, roles such as quants, data scientists, software engineers.
With regards to generating alpha, the big quant firms were already way-ahead of the curve and have been employing individuals with such specialised knowledge for sometime already. Some firms do it better than others, those who do it well won't be broadcasting it everywhere, whilst firms looking to experiment may allocate a small amount of capital for such strategies, but these would still sit within a basket of non-ml strategies. ML can find many other use cases up and down the entire quant pipeline e.g. portfolio optimisation, trade execution, filtering of the universe, regime classification.
So in conclusion, I believe that it will just be another set of skills that future quants/engineers/scientists/researchers are expected to bring to the table and perhaps, apply in novel settings but it is not a panacea for every problem.
tldr: good to have but it is no magic pill for every problem and it won't replace the core value of a good researcher/scientist/engineer
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this is too easy to be an interview question imo
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@carlospena98 @aryansudan2239 I agree too! but remember that interview questions can span a whole range of complexities. Some are shockingly trivial while others can leave one not knowing where to start! There is also the pressure of interview anxiety that can result in brain fog, leaving some applicants stumped on questions they would otherwise have solved in a heartbeat in a calmer, relaxed environment
Assuming the person taking the path is walking optimally
No, since it can only go one direction not the opposite for each axis, he either misses or hits with the optimal solution
@clementdato6328 @AC-tn4it, yes and the constraint of the moves I believe makes this set of unique paths the most optimal. There is no other path that can get us there in a shorter number of moves. So deviating from the constraint set of moves at any set makes the resultant path sub-optimal by the number of moves
It's not the total number of paths. Just the total number of unique paths with the minimal steps.
OP is right, interviewee should answer infinite, interviewer should consider changing the question to walks with the minimum number of steps.