Which is the same thing as n k n-k. It arises from the fact that every three cards you choose can be rearranged in six different ways just like in the previous example with three color balls. This combination generator will quickly find and list all possible combinations of up to 7 letters or numbers or a combination of letters and numbers.
For an in-depth explanation please visit Combinations and Permutations.
3 choose 2 3 choose 2 basically means choosing a number of sampling elements r from the total number of elements in the given set n. The number of combinations is always smaller than the number of permutations. This may be calculated using the factorial. As you can see it has 4 variables Max min open and close.