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2023 AMC 12B Question 8

AMC12 · 2023 AMC 12B

Question 8

How many nonempty subsets $B$ of $\{0,1,2,3,\ldots,12\}$ have the property that the number of elements in $B$ is equal to the least element of $B?$ For example, $B=\{4,6,8,11\}$ satisfies the condition.
  1. $256$
  2. $136$
  3. $108$
  4. $144$
  5. $156$