Given a set of sets $\{A_i\}$, $\forall i,j, |A_i|=N, |A_i\cap A_j|\leq M$. What is the smallest possible $\left|\cup_i A_i\right|$?

  • $\begingroup$ N. Further N <= M. $\endgroup$ – William Elliot Sep 18 at 5:23

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