1.3 lecture03 - STAT 1301 Probability Statistics Unordered...

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1 STAT 1301 Probability & Statistics L t 3 Lecture 3 Unordered selection with replacement: Three Dice The casino game big-small is a casino game played with three dice. How many unordered outcomes are there? It is a typical example of counting the number of unordered subsets (3 numbers) from a set of distinguishable objects (faces 1 – 6) with replacement as there can be more than one die landing on the same number (e.g. {1, 1, 3}, {6, 6, 6} t ) 6}, etc). Different orderings of the numbers are treated as the same outcome (e.g. {1, 2, 3} is the same as {2, 1, 3}, {4, 5, 5} is the same as {5, 4, 5}, etc). If a set of n indistinguishable objects is to be partitioned into r distinguishable groups groups.
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