The factorial of the number 0 is defined as 1 because there is only one possible permutation for a set of zero elements, namely the empty set. The combinatorial interpretation of the factorial function is the total number of possible permutations of a set of n elements.
Know MoreA permutation can also be defined, in this case, as a way of arranging the objects in question. The factorial function "n!" of a positive integer n is defined as the product of all the positive integers smaller than or equal to n. It can be recursively defined as "n! = n × (n ? 1)!," where 0! and 1! are known to have the value of 1.
Learn more in GeometryIn geometry, a vertex is defined as a point where two or more lines meet. A triangle has three vertices. A parallelogram has four vertices. A six-sided figure has six vertices. A pentagon is a five-sided figure and has five vertices.
Full Answer >Geometry is defined as the area of mathematics dealing with points, lines, shapes and space. Geometry is important because the world is made up of different shapes and spaces. It is broken into plane geometry, flat shapes like lines, circles and triangles, and solid geometry, solid shapes like spheres and cubes.
Full Answer >In geometry, a plane is defined as a flat, infinite surface. It has infinite length and width but no thickness. A plane is thus a two-dimensional, boundless surface and a subset of space.
Full Answer >Parallel lines are defined as lines that are equal distance apart and never touch. Being an equal distance apart is also known as equidistant. Parallel lines always point in the same direction.
Full Answer >