Combinatorics in Octahedron (AIME 2001)

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Dipta Akash Roy
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Combinatorics in Octahedron (AIME 2001)

Unread post by Dipta Akash Roy » Thu Jan 12, 2012 8:34 pm

The numbers 1, 2, 3, 4, 5, 6, 7 and 8 are randomly written on the faces of a Regular Octahedron so that each face contains a different number. Compute the Probability that no two consecutive numbers, where 8 and 1 are considered to be consecutive, are written on faces that share an edge. :mrgreen:
X=V-E+F

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samiul_samin
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Re: Combinatorics in Octahedron (AIME 2001)

Unread post by samiul_samin » Sat Mar 03, 2018 2:26 pm

Answer
$\fbox {85}$

Problem Source
AIME 2001/15

Solution Source

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