One more probability question

Let \(\displaystyle E_{k}\) be the event that the kth couple is seated together. We want its complement.

\(\displaystyle 1-P\left(E_{1}\cup E_{2}\cup E_{3}\cup E_{4}\right)\).

\(\displaystyle \sum_{k=0}^{4}\frac{(-1)^{k}\binom 8 k \cdot 2^{k}\cdot (8-k)!}{8!}\)

Hope I got that right :wink:

EDIT: I just found this. See the bottom of the page, problem #3.

http://pages.cs.wisc.edu/~oufang/discussion/D02.pdf
 
Daniel_Feldman said:
Solved...Thank you.

Daniel,

Why did you erase your original question?

Please replace it - so that a student at a future date can get the benifit of teaching that Glactus provided you.
 
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