• Want to level up your HSC prep on those harder Maths questions?
    Register now for the BoS Trials (7th October)!

3U Prob (1 Viewer)

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,232
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
2,232
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
2,232
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
2,232
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