SOLUTION: Six standup comics A,B,C,D,E and F are set to perform at a single event, order to be determined randomly. Find that C will perform third and D will perform fourth! thank you so

Algebra ->  Probability-and-statistics -> SOLUTION: Six standup comics A,B,C,D,E and F are set to perform at a single event, order to be determined randomly. Find that C will perform third and D will perform fourth! thank you so       Log On


   



Question 227874: Six standup comics A,B,C,D,E and F are set to perform at a single event, order to be determined randomly. Find that C will perform third and D will perform fourth!
thank you so much i need lots of help!!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In other words, what are all the possible
ways that all 6 can perform while C must
be 3rd and D must be 4th.
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The 1st to perform can't be C or D, but he can
be any one of the others, or 4 possible
comedians.
The next one can't be C or D, or the one that
just performed, so 3 possible
Then comes C and D in just 1 possible
way
The 5th one can be 1 of 2 or 2 possible
The 6th one has only 1 choice left
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The number of ways that all 6 can perform is:
4%2A3%2A1%2A2%2A1+=+24 possible ways