Question

Number of ways in which two americans, two british, one chinese, one dutch and one egyptian can sit on a round table so that persons of the same nationality are separated is: options

Answer 1

Answer:

The total number of such ways possible are: 4560

Step-by-step explanation:

There are total 7 people(2 americans, two british, one chinese,one egyptian and one dutch).

Now total ways of arranging them around a table= 7!

now the number of ways the same nationality will sit together=5!×2×2=4×5!

Hence, the number of ways that the same nationality people are separated= Total number of ways- same nationality sitting together

                 =7!-4×5!

                 =4560

Hence, the number of ways in which these 7 people are to be seated such that persons of the same nationality are separated is: 4560