There are 3 men, 8 women, they are standing in a row for a photoshoot, in how many ways they can be arranged if no 2 men can stand together.

• since the condition is on men, so we first arrange all the 8 women. ie 8 women can be arranged in 8 places in 8! ways. and now we have 9 places in between the women where we can arrange 3 men in 9P3 ways.
  Therefore the number of ways we can arrange is (8!)X(9P3)
• 10 years agoHelpfull: Yes(45) No(1)
• There is restriction on the number of Men, so consideration of problem shall be done by fixing position of Women
  _W_W_W_W_W_W_W_W_
  In those blank spaces 3 Men can be arranged among 9 positions so that it satisfies the above condition.
  No. of ways= 9P3 * 8!
• 10 years agoHelpfull: Yes(11) No(0)
• Among 8 women there are 9 gaps..
  total arrangement of boys in those gaps 9C3
  they can arrange in themselves in 3!
  total arrangements of women 8!
  so ans will be 9C3 * 3! * 8!
• 9 years agoHelpfull: Yes(6) No(0)
• There is no restrictions on sitting arrangements of women so 8 women can be seated in 8 places in 8P8 ways ie 8! Ways. Now there are 9 places between the women so 3men can be seated in 9 places in 9P3 ways hence total no of arrangements is 9P3×8!.
• 9 years agoHelpfull: Yes(5) No(0)
• There is restriction on the number of Men, so consideration of problem shall be done by fixing position of Women
  _W_W_W_W_W_W_W_W_
  In those blank spaces 3 Men can be arranged among 9 positions so that it satisfies the above condition.
  No. of ways= 9P3 * 8!
• 10 years agoHelpfull: Yes(4) No(0)
• 8! * 9p3
  as women can sit in 8! ways and each men needs to sit between 2 women
  there are such 9 places so 9p3
• 9 years agoHelpfull: Yes(4) No(1)
• if w represents women & * for men then
  for no 2 men can stand together, 3 men can be arranged at any 2 * marks out of 9
  
  * w * w * w * w * w * w * w * w *
  
  no. of ways= 9P3 = 504
  
• 10 years agoHelpfull: Yes(3) No(42)
• 9P3 * 8! is the correct answer.
• 9 years agoHelpfull: Yes(3) No(0)
• if w represents women & * for men then
  for no 2 men can stand together, 2 men can be arranged at any 2 * marks out of 9
  
  * w * w * w * w * w * w * w * w *
  
  no. of ways= 9P2 = 72
• 10 years agoHelpfull: Yes(2) No(30)
• it shud be 9c3= 9*8*7/3*2=84
• 10 years agoHelpfull: Yes(2) No(7)
• ways to arrange 8 women 8!
  now to arrange 3 men we have 9 places
  * w * w * w * w * w * w * w * w *
  so 1st we select 3 place i.e. 9C3
  and now arrange them i.e. 3!
  so ans is 81*9C3*3!
  
• 10 years agoHelpfull: Yes(2) No(5)
• 8*7*6*5=1680
• 10 years agoHelpfull: Yes(1) No(1)
• all possible ways of arranging the men and women are 11!
  consider the situation in which 2 men can stand together,so possible ways of doing that is 2!*10!
  similarly consider the case in which 3 men can stand together,possible ways are
  3!*9!
  hence in order to find out the possible ways of arranging the men and women as per the given condition is 11!-(2!*10!)-(3!*9!)
• 9 years agoHelpfull: Yes(1) No(0)
• _W_W_W_W_W_W_W_W_
  THERE ARE 9 PLACES WHERE 3 MEN CAN STAND SO THAT NO TWO MEN WILL STAND TOGETHER.
  SO, THE OF WAYS ARE=9C3=84
• 9 years agoHelpfull: Yes(1) No(0)
• 9c2=36 ans
• 10 years agoHelpfull: Yes(0) No(9)
• ways to arrange 8 women 8!
  to arange men _ w_ w_ w_ w_w_w_w_w
  3 men can be arranged in 9 blanks in:9p3 ways
• 10 years agoHelpfull: Yes(0) No(1)
• FACTORIAL(8)*9P2
• 9 years agoHelpfull: Yes(0) No(0)
• M W W W M W W W M W W W
  9P3=504
• 9 years agoHelpfull: Yes(0) No(2)
• the ans is 9P3*8!.
  
• 9 years agoHelpfull: Yes(0) No(0)
• first arranging the positions of 8 womens
  we get 9 spaces in which 3 men are arranged
  so ans is 8!*9p3
• 9 years agoHelpfull: Yes(0) No(1)
• in 504 ways
  as there are 8 women so the places to stand 3 men in a row so that no two men can be together=9P3
  9*8*7=504
• 9 years agoHelpfull: Yes(0) No(0)