There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a round table so that exactly one person sit between the brothers , is equal to:

• 2*7!*8
  Two brothers can be arranged in 2 ways.
  In the middle of 2 brothers, any of 8 other person can sit, so 8 ways.
  The rest 7 people can be arranged in 7! Ways.
  So, 7!*2*8
• 7 years agoHelpfull: Yes(19) No(6)
• Total number of ways = 7!*2!
• 7 years agoHelpfull: Yes(6) No(3)
• answer: 2*8!
  seating of two brothers in rounded table is 2 way.
  fix them due to symmetry of rounded table then other 8 person seat by 8!
  So 2*8!
• 7 years agoHelpfull: Yes(3) No(1)
• Total number of ways = 8c1*2!
• 7 years agoHelpfull: Yes(2) No(3)
• we have to fix a position of either brother1 or brother2 so,no.of ways that bros arranged =2!
  and remaining 8 are arranged in 8! ways .
  total=2!*8!
• 7 years agoHelpfull: Yes(2) No(1)
• 2 brothers seated in 2! ways
  In between brothers seated in 8C1 ways and reaming will be seated in 7!ways
  hence 2!*8*7!
• 6 years agoHelpfull: Yes(1) No(0)
• 2*8!
  
  If we fix one brother's position fixed, other brother can be left/right of his brother, so number of ways = 2
  The number of ways to sit for 8 persons = 8!
  Overall number of ways = 2*8!
• 7 years agoHelpfull: Yes(0) No(2)
• 7C1*7C3*2!
• 7 years agoHelpfull: Yes(0) No(2)
• Let us fix one person called P and the two brothers called X and Y. So let’s form a group of two brothers and one person X P Y . Hence person is fixed in middle and 2 ways to arrange two brothers X P Y and Y P X.
  Now, assuming total people = 17 (17 people and 1 group of X,Y and P). So arrangement = 17!
  
  
  Each person out of 18 can be fixed between the two=18
  
  Final answer = 2∗17!∗18=2∗18!
• 6 years agoHelpfull: Yes(0) No(4)
• 2*8*7!
  Two brothers 2 ways
  One place between brothers 8 ways
  Remaining 7 placed 7! Ways
• 6 years agoHelpfull: Yes(0) No(2)
• 2!*7!====because 2 brothers are fixed besides one fixed person and they can be arranged in 2! ways and the remaning 7 peoples can be arrange in 7! ways.
• 6 years agoHelpfull: Yes(0) No(0)
• 18!*2
  Correct one
• 6 years agoHelpfull: Yes(0) No(1)
• Let consider 2 brothers and middle person as 1 unit so total members =8
  No.of ways =(n-1)!
  =7!
  And two brothers can be seated in 2! Ways
  Total no of ways = 7!*2!
• 3 years agoHelpfull: Yes(0) No(0)