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2022 AMC 12A Question 10

AMC12 · 2022 AMC 12A

Question 10

What is the number of ways the numbers from $1$ to $14$ can be split into $7$ pairs such that for each pair, the greater number is at least $2$ times the smaller number?
  1. $108$
  2. $120$
  3. $126$
  4. $132$
  5. $144$