Track / Stage 4 / 328 of 340 #588 of 1964

Problem 588

AMC 12 late, AIME early

Combinatorics Difficulty 5.0 Find the answer

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.)

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

2. 2880

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.