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MathNet 2017-part-04 — 176 problems (EN–VI) Question 89

Math Olympiad Vault · MathNet 2017-part-04 — 176 problems (EN–VI)

Question 89

In how many ways can the integers
$$
-5,-4,-3,-2,-1,1,2,3,4,5
$$
be arranged in a circle such that the product of each pair of adjacent integers is negative? (Assume that arrangements which can be obtained by rotation are considered the same.)