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

Click here to see ALL problems on Permutations

Question 1143238: 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 E will perform fifth.
b. Comic C will perform fifth and Comic F will perform fourth.
c. The comedians will perform in the following order:
E, C, F, B, A, D.
d. Comic A or Comic D will perform first.
Found 2 solutions by 4419875, ikleyn:
Answer by 4419875(21) (Show Source):
You can put this solution on YOUR website!
A.- Supposed there will be only 1 for the fifth place then the remaining 5 shall be ocuupied by order of 5!. To illustrate, 5-4-3-2-1-1. And of course, the arrangement for the sample space is 6!. Since we consider the total nunber of events.
B.-Same principle applied with letter A.
C. Since we specify on how we situate the persons there should be 1/6! Likewise, bserve that there is 1 1 1 1 1 1 sequence
D.-2 persons A or D can occupy the first performance and the rest shall be arranged accordingly by 4!

Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website!
.

The correct answers are

(a) P = = . (b) P = = = . (c) P = . (d) P = + = = .

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

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