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j.s.
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a block design question

Is it possible to show that every 1-design $D$ with $\lambda=4,k=4$ on $v$ points contain some 1-design $Q$ with $\lambda=1,k=4$ on $v$ points such that every block of $Q$ is some block of $D$ which one of his elements is removed?

j.s.
  • 519
  • 2
  • 11