SOLUTION: what is the number of ways of seating 3 men and 5 women in a row if there is no restrictions

Question 1046062: what is the number of ways of seating 3 men and 5 women in a row if there is no restrictions
Found 3 solutions by KMST, ikleyn, MathTherapy:
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Consider how the women are lined up .
There are different ways to line up those women.
Considering how the men are lined up,
there are ways to line them up.
We could sit all 3 men at one end,
in what we could say are positions 1, 2, and 3, of the row of people.
There are other ways to pick where the men would go.
Any set of 3 position numbers picked out of the 8 positions would do.
There are such combinations of 8 taken 3 at at time.
So, out total number of choices is
.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
8!

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

what is the number of ways of seating 3 men and 5 women in a row if there is no restrictions

1st position: 8 persons
2nd position: 7 persons, and so on
This means that there are:
RELATED QUESTIONS
Find the number of ways of seating 3 men and 5 women in a row if there is no... (answered by ewatrrr)
A class consists of 9 women and 3 men. Find the number of ways a committee of 4 can be... (answered by ikleyn)
Find the number of ways of seating five men and five women alternately in a row,... (answered by stanbon,ryuzaki.sultan)
Evaluate 9P2 Evaluate 9C2 A group of three men and two women are to be seated in a... (answered by stanbon)
a team of 4 is to be choosen at random from 5 women and 6 men.in how many ways can this... (answered by tommyt3rd)
A group consisting of 5 women and 4 men are placed at random in 9 chairs in a row. What... (answered by stanbon)
Finite mathematics: A group of six friends consisting of 4 females and two males are... (answered by Edwin McCravy,somuahkata@gmail.com)
number of ways in which 6 men and 5 women can dine at a round table if no 2 women are to... (answered by chana)
there are 4 men and 4 women to be seated in a row, and no 2 men or 2 women can sit next... (answered by gonzo,Ali-aithzaz)