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 about GeometryIn 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 >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 >The incenter of a triangle is defined as the point where all three angle bisectors intersect. It can be found using a compass and a straight edge by constructing the angle bisectors of any two vertices of the triangle and marking the point where they cross. Two angle bisectors are sufficient to define the point where all three intersect, so the third angle bisector need not be drawn.
Full Answer >The value of y in the linear interpolation equation is defined as a sum of y0 and the product of y differential (y1 – y0), multiplied by the ratio between differentials of x ((x – x0) divided by (x – x1)). This is a method of calculating the unknown value of y for any given x on the interval between two known points with coordinates (x0,y0) and (x1,y1).
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