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1962 AMC 12 Question 8

AMC12 · 1962 AMC 12

Question 8

Given the set of $n$ numbers, $n\gt1,$ of which one is $1-\dfrac1n$ and all the others are $1.$ The arithmetic mean of the $n$ numbers is:
  1. $1$
  2. $n-\dfrac1n$
  3. $n-\dfrac1{n^2}$
  4. $1-\dfrac1{n^2}$
  5. $1-\dfrac1n-\dfrac1{n^2}$