A multiset is a collection of objects, like a set, but that can contain an object more than once (though the order of the objects does not matter). For example {1, 1, 2, 2, 2, 4, 3} is a multiset of size 7. a. How many sets of size 5 can be made using the numeric digits {0, 1, 2, ..., 9}? b. How many multisets of size 5 can be made using the numerica digits {0, 1, 2, ..., 9}?

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Q: 1. How many 10-element multisets can be made from the symbols {1,2,3,4}?

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.