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Arrangement of people in a line

1

$begingroup$

Question:
6 men and 3 women stand in a line. How many possible arrangements are there if no two of the women are standing next to each other?

My attempted solution:

Arrange the 6 men first in 6! Ways. Then arrange the 3 women in the 7 spaces in-between the men ( 7 P 3 ) so final answer is : 151,200

combinatorics permutations

share|cite|improve this question

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

asked Mar 27 at 2:32

user122343user122343

1076

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Your solution is correct.
  $endgroup$
  – John Douma
  Mar 27 at 2:50
  

  
  
  
  

add a comment | 

1

$begingroup$

Question:
6 men and 3 women stand in a line. How many possible arrangements are there if no two of the women are standing next to each other?

My attempted solution:

Arrange the 6 men first in 6! Ways. Then arrange the 3 women in the 7 spaces in-between the men ( 7 P 3 ) so final answer is : 151,200

combinatorics permutations

share|cite|improve this question

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

asked Mar 27 at 2:32

user122343user122343

1076

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Your solution is correct.
  $endgroup$
  – John Douma
  Mar 27 at 2:50
  

  
  
  
  

add a comment | 

$begingroup$

Question:
6 men and 3 women stand in a line. How many possible arrangements are there if no two of the women are standing next to each other?

My attempted solution:

Arrange the 6 men first in 6! Ways. Then arrange the 3 women in the 7 spaces in-between the men ( 7 P 3 ) so final answer is : 151,200

combinatorics permutations

share|cite|improve this question

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

asked Mar 27 at 2:32

user122343user122343

1076

$endgroup$

share|cite|improve this question

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

asked Mar 27 at 2:32

user122343user122343

1076

share|cite|improve this question

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

asked Mar 27 at 2:32

user122343user122343

1076

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

edited Mar 27 at 9:18

N. F. Taussig

45.4k103358

asked Mar 27 at 2:32

user122343user122343

1076

asked Mar 27 at 2:32

user122343user122343

1076