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  • There should be 7 people seated at a round table. Calculate the total number of arrangements if two particular people are not to stand side by side.Opt

There should be 7 people seated at a round table. Calculate the total number of arrangements if two particular people are not to stand side by side.

Option: 1

320


Option: 2

720


Option: 3

640

 


Option: 4

480


Answers (1)

best_answer

The number of ways in which 7 people are seated around a round table is given by,

(7-1)=6!

Thus,

6!=6\times 5\times 4\times 3\times 2

6!=720

The number of ways in which 2 people sit side by side is given by,

5!=5\times 4\times 3\times 2\times 2

5!\times2!=240

Thus, the total number of arrangements is,

6!\--5!\times2!=720-240

6!\--5!\times2!=480

Therefore, the number of ways the arrangements are done in 480 ways.


 

 

 

 

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