if 3 couples sit in a row of chairs what is the probability that each couple sits together?

what is the probability all the women sit together and the men may or may not be in the group?

what is the probability that the women sit together and the men sit together?

6 answers

That depends upon the couples.

How is this a statistics question??
probability , i guess... its for a stats class.
im pretty sure my teacher doesnt word the questions very well.
In addition to knowing nothing about the couples, we don't know the event. Couples usually sit together in church, but often sit with their own gender in other situations. At a party, the couples often mingle and don't stay together.

You could tell the teacher that the question can't be answered.
a) consider each couple as one unit, so you are just arranging 3 units.
Number of ways = 3! = 6

b) I don't understand the question

c) for the men to sit together, we could have
MMMWWW ****
WMMMWW
WWMMMW
WWWMMM

Number of ways to do ***
= 3x2x1x3x2x1=36
but each of the other calculations are the same
number of ways = 4x6 = 24
Last line of previous post should have been:

number of ways = 4x36 = 144