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Homework Statement
Bobo, Coco, and 8 other students are arranged to sit in 2 rows of 5 students. If these 10 students take their seat randomly, find the probability that Bobo and Coco are sitting in the same row but not next to each other.
The Attempt at a Solution
Bobo and Coco together have 12 ways to sit, they 2 can exchange, other 8 students sit randomly.
Probability = [itex]\frac{12×2×8!}{10!}[/itex] = [itex]\frac{4}{15}[/itex]
Is this correct? Thank you!