What are Combinations?
In combinatorics, Combinations refer to the different ways of selecting a subset of items from a larger set without regard to the order of selection. Combinations are used to count the number of possible outcomes when the order of selection does not matter. For example, if you have a set of three elements {A, B, C}, the Combinations of size 2 would be {AB, AC, BC}. In this case, the order of the items within each combination does not matter, so {AB} and {BA} are considered the same combination. The number of Combinations of selecting "k" items from a set of "n" items is denoted as C(n, k). It is calculated using the binomial coefficient formula: C(n, k) = n! / (k! * (n - k)!) Combinations have various applications in mathematics, probability theory, statistics, and other fields.
How to Calculate Number of Triangles formed by joining N Points out of which M are Collinear?
Number of Triangles formed by joining N Points out of which M are Collinear calculator uses Number of Triangles = C(Value of N,3)-C(Value of M,3) to calculate the Number of Triangles, The Number of Triangles formed by joining N Points out of which M are Collinear formula is defined as the total count of triangles that can be formed by using a given set of collinear and non-collinear points on a plane. Number of Triangles is denoted by NTriangles symbol.
How to calculate Number of Triangles formed by joining N Points out of which M are Collinear using this online calculator? To use this online calculator for Number of Triangles formed by joining N Points out of which M are Collinear, enter Value of N (n) & Value of M (m) and hit the calculate button. Here is how the Number of Triangles formed by joining N Points out of which M are Collinear calculation can be explained with given input values -> 56 = C(8,3)-C(3,3).