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In a group of $250$ students, the percentage of girls was at least $44 \%$ and at most $60 \%$. The rest of the students were boys. Each student opted for either swimming or running or both. If $50 \%$ of the boys and $80 \%$ of the girls opted for swimming while $70 \%$ of the boys and $60 \%$ of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are

  1. $72$ and $88$, respectively
  2. $72$ and $80$, respectively
  3. $75$ and $96$, respectively
  4. $75$ and $90$, respectively

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