Asked by "Thoughtwaves "
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?
Virat flanked by Rohit and Dhawan?
Answers
Answered by
GPT 3.5
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.
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.
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