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 Rectangles formed by Number of Horizontal and Vertical Lines?
Number of Rectangles formed by Number of Horizontal and Vertical Lines calculator uses Number of Rectangles = C(Number of Horizontal Lines,2)*C(Number of Vertical Lines,2) to calculate the Number of Rectangles, Number of Rectangles formed by Number of Horizontal and Vertical Lines formula is defined as the total count of rectangles that can be formed by using a given set of finite number of horizontal and vertical lines from a plane. Number of Rectangles is denoted by NRectangles symbol.
How to calculate Number of Rectangles formed by Number of Horizontal and Vertical Lines using this online calculator? To use this online calculator for Number of Rectangles formed by Number of Horizontal and Vertical Lines, enter Number of Horizontal Lines (NHorizontal Lines) & Number of Vertical Lines (NVertical Lines) and hit the calculate button. Here is how the Number of Rectangles formed by Number of Horizontal and Vertical Lines calculation can be explained with given input values -> 1260 = C(10,2)*C(9,2).