Question 1008083
Six stand up comics, A,B,C,D,E and F are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that 
A.Comic D will perform second.
# of ways to succeed:: 1*5! 
# of possible outcomes:: 6! 
P(D is 2nd) = 5!/6! = 1/6
------------------------------------ 
B.Comic B will perform first and Comic C will perform fourth
# of ways to succeed:: 1*1*4!
P(B 1st and C 4th) = 4!/6! = 1/(6*5) = 1/30
-------------------------------------- 
C. The comedians will perform in the following order D,B,C,F,E,A
Ans: 1/6! 
---------------- 
D.Comic A or E will perform fourth .
Ans: (2!*4!)/6!
-------------------
Cheers,
Stan H.
------------