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4 September, 19:02

In an introductory statistics class there are 4 men and 6 women. An examination is given, and the students are ranked according to their performance. Assume that no two students obtain the same score. (a) How many different rankings are possible?

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  1. 4 September, 20:12
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    3628800

    Step-by-step explanation:

    The class has a total number of 10 students.

    4men + 6women = 10 pupils

    No two students scored the same score

    Therefore, this implies that there would be 10! Scores

    10! = 3628800

    But if the men ranked amongst themselves and the women too amongst themselves we would have

    (6!) (4!) = 17280
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