• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

3U Prob (1 Viewer)

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,250
Gender
Undisclosed
HSC
N/A
If 6 men and 6 women are to be seated about a round table and take their seats randomly, determine the probability that a particular woman is not seated next to either of the 2 particular men.

Thanks
 

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,250
Gender
Undisclosed
HSC
N/A
Hi, How would I determine the number of ways, instead of Probability?

Thanks again
 

The Nomad

Member
Joined
Oct 11, 2009
Messages
123
Gender
Male
HSC
2010
Hi, How would I determine the number of ways, instead of Probability?

Thanks again
Total arrangements of 12 people around a circular table = 11!.

Arrangements with your condition = 11! x 36/55 = 26127360.
 

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,250
Gender
Undisclosed
HSC
N/A
Perhaps I wasn't clear enough =\

I was wondering how I could do this by first determining the number of ways... (ie. without determining the probability). I think there's a way, but not I'm not sure how to work it out... :(

Thanks
 

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,250
Gender
Undisclosed
HSC
N/A
Thanks for that. Would it be possible to do it using nCr?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top