Correct Answer - Option 3 : 3 / 55
Given:
Total number = 12
Calculation:
Total possible arrangements = (12 – 1)!
⇒ Total possible arrangements = 11!
Number of outcomes according to the seating arrangement required = 3! × (10 - 1)!
⇒ Probability = (3! × 9!) / 11!
⇒ Probability = 3 / 55
∴ Probability of those three friends seating together is 3/ 55
Number of arrangements in circular table = (n – 1)!