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AMC 12A 2008 #21 — Heavy-Tailed Permutations Count

1925SpecialistPermutationsCombinatoricsCounting Principles

AMC 12A · 2008 · Problem 21

A permutation $(a_1,a_2,a_3,a_4,a_5)$ of $(1,2,3,4,5)$ is $\textit{heavy-tailed}$ if $a_1 + a_2 < a_4 + a_5$. What is the number of heavy-tailed permutations?

Answer choices

A
36
B
40
C
44
D
48
E
52
0 students attempted0% solvedRating 1925

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