Question about cadinality of sets

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The cardinality of the set {1,2,2,3,3,1,1,1} is 3, as every element in a set is unique. Therefore, the set can be simplified to {1,2,3}. In contrast, a "multi-set" allows for the inclusion of repeated elements, which is a different concept altogether. Understanding these definitions is crucial for distinguishing between sets and multi-sets in mathematical contexts.

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camboguy
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i was confused about what the cardinality of the set {1,2,2,3,3,1,1,1} is?
is it 8 or is it 3?
 
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Every element of a set is unique, therefore {1,2,2,3,3,1,1,1} is the same as {1,2,3}.
 
There is an alternate concept of "multi-set" if you want to take repeats into account.
 

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