12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is:

  • Option 1)

    9(10!)

  • Option 2)

    2(10!)

  • Option 3)

    45(8!)

  • Option 4)

    10!

 

Answers (1)

As learnt in concept

Conditions for Circular Permutation -

The number of circular permutations of n distinct things = (n - 1)!

-

 

 Total permutations =11!

when two particular persons are together, then number of arrangements= 10!*2

Thus required cases: 11!-2*10!= (11-2)* 10!

= 9*10!

 


Option 1)

9(10!)

Correct option

Option 2)

2(10!)

Incorrect option

Option 3)

45(8!)

Incorrect option

Option 4)

10!

Incorrect option

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