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4 persons have to be seated in 12 seats with no person sitting next to each other

4 persons have to be seated in 12 seats with no person sitting next to each other

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1 Answers

ruchi yadav
askIITians Faculty 27 Points
8 years ago
Step 1. 5 people can sit around a circular table in 4! ways
Step2. Consider these two poeple as one unit so 3 people + 1 Couple can sit around a round table in 3! ways
Step3. But the couple can exchange seats in 2 ways. MH or HM
So the total probability is 2. 3! / 4! = 1/2 = 50% chance

Thank You
Ruchi
Askiitians Faculty

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