Abstract
In practice, it is often necessary to select a subset of elements with certain properties from a given set of objects, to arrange the elements of one or more sets in a specific order, and to study similar problems. Since such problems involve various combinations of objects, they are called combinatorics problems, and the branch of mathematics that studies combinatorics problems is called combinatorics. Suppose a set consisting of n elements is given. When creating different groups from the elements of this set, it is important to answer whether the order of the selected elements matters or not, and whether the same elements can be repeated or not. We present some combinatorics problems that answer the questions above and can be proven using mathematical induction.
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