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Mathematics, 10.03.2020 00:21 LouieHBK

A class in probability theory consists of 6 men and 4 women. An exam is given and the students are ranked according to their performance knowing their gender but without knowing their names. Assuming that students obtains a different score (i. e. no two students will obtain the same score).
(a) How many different rankings are possible?
(b) If only 3 students are selected at random, how many different rankings are possible in this case? Use a tree diagram to find the list of all possible rankings in this case.

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