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## Homework Statement

A factory is hiring ##m## employees. A number ##n > m## of candidates applied to the job. They need to answer an exam consisting of questions all of equal weight. A candidate is selected to the next step (the interview) if he/she achieves a minimum of ##c## points in the exam, but as ##n > m## only those candidates with more points will be selected.

What, on average, is the minimum of points a given candidate must achieve in the exam in order to go to the next step?

## Homework Equations

## The Attempt at a Solution

Sorry if this is poor written. It was originally in my native language and I translated it to English, and I don't know much of English. (Using Google Translator gives a worse translation, believe...)

I tried to solve this problem by taking mean average. If there are ##n## candidates and the minimum to be considered as able is ##c##, then suppose each one of the ##n## achieves this miminum. This gives a total of ##c \cdot n## points. Now I divided this by the total number of candidates the factory is going to hire ##c \cdot n / m##. Is this the answer?

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