SOLUTION: 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

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.
B.Comic B will perform first and Comic C will perform fourth
C. The comedians will perform in the following order D,B,C,F,E,A
D.Comic A or E will perform fourth .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
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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
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C. The comedians will perform in the following order D,B,C,F,E,A
Ans: 1/6!
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D.Comic A or E will perform fourth .
Ans: (2!*4!)/6!
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Cheers,
Stan H.
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