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8 friends A, B, C, D, E, F, G, H are to be seated around a round table. Find the probability that A and B never sit next to each other

🗓 Oct 31, 2024

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Richa - IIT Bombay 🌐 Maharashtra
Number of ways 8 people can sit in circular table = 7!
Number of ways A and B can sit together (take A and B as single unit) = 6! * 2

we can multiply by 2 as A and B can interchange within a unit.

So, Answer is = 1 - (6!*2/7!) = 5/7
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