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- Confused! kindly explain, 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:
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 =
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
View full answer
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