SOLUTION: How many ways can you seat 3 men and 3 women at a table if 2 particular women can't sit together?

Question 340884: How many ways can you seat 3 men and 3 women at a table if 2 particular women can't sit together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many ways can you seat 3 men and 3 women at a table if 2 particular women can't sit together?
----
# of arrangements with no restrictions: 5! = 120
---
# of ways to seat the 2 particular women together:
choose one of the women: 2 ways
place her at the table: 6 ways
Total ways to arrange the 2 women together: 2*6=12
-------------
Answer to the Problem: 120-12 = 108
=========================
Cheers,
Stan H.
RELATED QUESTIONS
Four married couples have reserved 8 seats in a row at the theatre, starting at an aisle... (answered by longjonsilver)

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)

in how many number of ways can 7 men and 7 women sit in a round table such that no two... (answered by sudhanshu_kmr)

i) In how many ways six men and four women sit in a row ii) In how many ways can they... (answered by math_tutor2020)

In how many ways can 5 men and 2 women sit in a row if no women sit next to each... (answered by KMST)

in how many ways can 8 people be seated in a row if there are 4 men and 4 women and no 2... (answered by sudhanshu_kmr)

In how many ways can 7 women and 3 men be seated in a row if the 3 men must always sit... (answered by stanbon)

A board consists of 3 men and 4 women, How many different ways can they sit in a row... (answered by edjones)

A party of 6 is to be formed from 10 men and 7 women so as to include 3 men and 3 women.... (answered by Edwin McCravy)