A group of $n$ people sit around a circular table. How many arrangements are possible if $ k \ $people sit together?

I am thinking $(n-k)!k!$ but I might be wrong. Please help!

  • $\begingroup$ It's right! why do you think might be wrong? $\endgroup$ – Amir Aug 7 '16 at 5:35
  • $\begingroup$ Could you explain why? @Amir $\endgroup$ – David Aug 7 '16 at 5:39
  • $\begingroup$ Give $k$ people sit together as a person then you wanna sit $(n-k+1)$ sit around a circular table $(n-k+1-1)!$ way. and and k people should sit together $k!$ then your answer is right! $\endgroup$ – Amir Aug 7 '16 at 5:45

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