Question

indian cricket team sits down for dinner at a round table. In how many arrangements is
Virat flanked by Rohit and Dhawan?​

Answer 1

Answer:

The answer would be 990.

Step-by-step explanation:

There are 11 players in a cricket team, therefore there'll be 11 chairs around the table. As virat must be flanked by Rohit and Dhawan the probability of them sitting together would be ^nPr where n = 11 and r = 3, so after solving 11!÷(11-3)! you'll get the answer

Answer 2

Total number of ways for siting on round table is 604800

Step-by-step explanation:

In a cricket team there are 11 players in a team

As these are siting on a round table, so it is circular permutation

So number of ways to sit all the 11 players = (n-1)! = (11-1) ! = 10 !

As in the question it is given that Virat flanked by Rohit and Dhawan

So the number of ways when they come together = 3 !

So total number of ways of siting on the round table

$=\frac{10!}{3!}=604800$ ways

Learn more

What is circular permutation

Explain how to calculate ​

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