SOLUTION: A class in probability theory consists of 6 men and 4 women. An examination is given, and the students are ranked according to their performance. Assume that now two students obt

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Question 867228: A class in probability theory consists of 6 men and 4 women. An examination is given, and the students are ranked according to their performance. Assume that now two students obtain the same score. a) How many different rankings are possible? b) If the men are ranked just among themselves and the women are ranked just among themselves, how many different rankings are possible?
Answer by stanbon(75887) About Me  (Show Source):
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A class in probability theory consists of 6 men and 4 women. An examination is given, and the students are ranked according to their performance. Assume that now two students obtain the same score.
a) How many different rankings are possible?:: 10! = 3628800
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b) If the men are ranked just among themselves and the women are ranked just among themselves, how many different rankings are possible?
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Ans: 6!*4! = 17280
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Cheers,
Stan H.
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