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In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange ...
When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
A combination is a way of choosing elements from a set in which order does not matter. In general, the number of ways to pick \( k \) unordered elements from an \( n \) element set is \( \frac{n!}{k!(n-k)!} \). This is a binomial coefficient, denoted \( n \choose k \).
In mathematics, a combination refers to a selection of objects from a collection in which the order of selection doesn't matter. Think of ordering a pizza.
Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr. Understand the concept of combination using examples.
Let \(A\) be the set of all \(r\)-permutations, and let \(B\) be the set of all \(r\)-combinations. Define \(\fcn{f}{A}{B}\) to be the function that converts a permutation into a combination by “unscrambling” its order. Then \(f\) is an \(r!\)-to-one function because there are \(r!\) ways to arrange (or shuffle) \(r\) objects.