2014 AMC 10B Problems/Problem 24

==Problem== $The numbers 1, 2, 3, 4, 5 are to be arranged in a circle. An arrangement is$ bad $if it is not true that for every$ n $from$ 1 $to$ 15 $one can find a subset of the numbers that appear consecutively on the circle that sum to$ n $. Arrangements that differ only by a rotation or a reflection are considered the same. How many different bad arrangements are there?$ \textbf {(A) } 1 \qquad \textbf {(B) } 2 \qquad \textbf {(C) } 3 \qquad \textbf {(D) } 4 \qquad \textbf {(E) } 5 $

Solution

2014 AMC 10B (Problems • Answer Key • Resources)
Preceded by Problem 23	Followed by Problem 25
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
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2014 AMC 10B Problems/Problem 24

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