SOLUTION: six stand up comics A,B,C,D,E, and F are set to perform at a single event, order to be determined randomly. Find the probability that C will perform third and D will perform fourth

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Question 227852: six stand up comics A,B,C,D,E, and F are set to perform at a single event, order to be determined randomly. Find the probability that C will perform third and D will perform fourth!
thanks so much i really need help!

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 set to perform at a single event, order to be determined randomly. Find the probability that C will perform third and D will perform fourth!
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# of ways to succeed = ?:
Perform 1st: 4 choices
Perform 2nd: 3 choices
Perform 3rd: 1 choice
Perform 4th: 1 choice
Perform 5th: 2 choices
Perform 6th: 1 choice
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Number of ways to succeed = 4*3*1*1*2*1 = 24
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Number of unrestricted orders: 6! = 720
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Probability that C will be 3rd and D will be 4th = 24/720 = 0,0333,,,'
Cheers,
Stan H.

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