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MathNet 2019-part-06 — 184 problems (EN–VI) Question 120

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 120

8 friends, 3 of whom are girls, will ride the big Ferris wheel at an amusement park. All 8 friends will be randomly distributed into 4 free cabins of the Ferris wheel, 2 friends in each cabin. What is the probability that no 2 girls will sit in the same cabin?
(20 points)