Difference between revisions of "2020 AMC 12B Problems/Problem 15"

Latest revision as of 20:15, 12 February 2020

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-==Problem==
+#REDIRECT [[2020 AMC 10B Problems/Problem 17]]
-There are <math>10</math> people standing equally spaced around a circle. Each person knows exactly <math>3</math> of the other <math>9</math> people: the <math>2</math> people standing next to her or him,as well as the person directly across the circle. How many ways are there for the <math>10</math> people to split up into <math>5</math> pairs so that the members of each pair know each other?
-<math>\textbf{(A)}\ 11 \qquad\textbf{(B)}\ 12 \qquad\textbf{(C)}\  13 \qquad\textbf{(D)}\ 14 \qquad\textbf{(E)}\ 15</math>