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Subsets Least Element Equals Size

1425ApprenticeCombinatoricsCounting Principles

AMC 12B · 2023 · Problem 8

How many nonempty subsets $B$ of $\{0, 1, 2, 3, \dots, 12\}$ 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.

Answer choices

A
256
B
136
C
108
D
144
E
156
0 students attempted0% solvedRating 1425

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AMC 12 PracticeAdvanced high school contest practice and review.AMC 10 vs AMC 12Choose the right practice path and difficulty level.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

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