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Q.

20 persons are to be seated around a circular table. Out of these 20, two are brothers. Then number of arrangements in which there will be atleast three persons between the brothers is

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a

18×20!

b

13×18 ! 

c

13!×18!

d

36×18 ! 

answer is C.

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Detailed Solution

Let A,B are the two brothers. Now A and the other 18 members can be arranged around a circle in 18! ways now B can be arranged in 13 ways.

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20 persons are to be seated around a circular table. Out of these 20, two are brothers. Then number of arrangements in which there will be atleast three persons between the brothers is