Indian cricket team consisting of 11 players sits down for dinner at a round table. In how many arrangements is
Virat flanked by Rohit and Dhawan?
If Virat is flanked by Rohit and Dhawan, then they can be arranged in the order Virat-Rohit-Dhawan or Dhawan-Rohit-Virat.
Now, the remaining 8 players can be arranged in a circle with 8 seats. The number of ways to arrange 8 players in a circle is (8-1)! = 7!
Therefore, the total number of arrangements where Virat is flanked by Rohit and Dhawan is 2 * 7! = 2 * 5040 = <<2*7! = 10080>>10080 arrangements.