Burnside's Lemma

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Multiple Choice

Let $G$ be a group acting on a set $X$. The number of orbits of $G$ on $X$ is equal to:

  1. The number of elements in $G$
  2. The number of elements in $X$
  3. The number of fixed points of $G$ on $X$
  4. The average number of elements in each orbit
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