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Market size - How many three letter words are there in the English language?

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Neue Antwort am 2. Nov. 2020
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James fragte am 1. Nov. 2020
Current Big 4 Consultant, preparing for upcoming interviews in November

I was asked to estimate the number of three letter words in the English language. How would you appraoch this question?

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Ian
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antwortete am 2. Nov. 2020
#1 BCG coach | MBB | Tier 2 | Digital, Tech, Platinion | 100% personal success rate (8/8) | 95% candidate success rate

Hey Justin,

This is a super hard one!

Let's look at the two approaches.

Top Down (preferred here)

  1. How many words are in the English language period. About 100,000?
  2. 80/20 rule...surely longer words are rarer
    1. There would be the most 3-5 letter words with a sharp dropoff on either end
    2. 80% of words are probably 3-5 letters
    3. Half of those are probably 4 letter? (most common)
    4. So, around 25% would be 3 letter
    5. Leaving us with approx 25,000

Bottom-up

  1. Write a few random sentences that pop into your head
  2. Count the # of 3 letter words and get a rough %
  3. Multiply this by how many words are in the English language in total (around 100k)
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Anonym A antwortete am 2. Nov. 2020

Where did you get asked such question? It's an interesting one but it also feels more like a brain teaser that an investment bank would ask to watch you squirm vs. an actual market sizing where you can build a logic with assumptions.

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James am 2. Nov. 2020

At a boutique German strategy consulting firm

Clara
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Content Creator
antwortete am 2. Nov. 2020
McKinsey | Awarded professor at Master in Management @ IE | MBA at MIT |+180 students coached | Integrated FIT Guide aut

Hello !

This is a GMAT question, not one you would get asked in an MBB interview, 99% sure.

In any case, you will need to first rescue your combinatory math knowledge from high school/uni to calculate the number of combinations that are possible.

Then, you would need to reduce that number, since most of those wouldn´t make sense in English, by applying a % reduction -that you should justify by reasoning with number of vowels/non vowels that a normal word has, etc.-.

Again, this one is too hard to worry about it.

Hope it helps!

Cheers,

Clara

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Ian

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