Description of variations without repetition
The Variation Without Repetition function calculates
how many ways there are to order a given set of objects.
When combining the variations, a number k
is selected from the total n, taking into account the order.
Each object may only be selected once in the object group, i.e. without repetition.
In the case of the urn model, this corresponds to a draw without
replacement but with consideration of the order.
This example shows how many groups with 2 objects from the digits 1 to 3 can be formed.
They are the groups (1,2), (2,1), (1,3), (3,1), (2,3) and (3,2). So six groups.
Example and formula
Four balls are to be drawn from a box with six different colored balls.
The number of ways to select and order four balls is calculated using the following formula: