BAN 001 Chapter Notes - Chapter 5: Sample Space

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We use these principles when there is no simple way to enumerate all the outcomes in a sample space: permutations. Suppose we have a group of n objects. Clearly any of the n objects can be placed in the first position. Then any of the remaining n-1 objects can be placed in the second position. We may proceed the same way until there is only one object remaining and that gets placed in the final position. The following illustrates the situation: n n-1 n-2 n-3 2 1. To answer the question we recognize that this situation is nothing more than a case of sequential joint occurrence of events. Initially we can place any of n objects in the first position. We follow this by placing any of the n-1 remaining objects in the second position, and so on. 1 calculate the total number of outcomes by the multiplication principle.

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