Write a program with a language of your choice that generates all the 6-permutations (NO REPETITION) of a set with nine elements.

Here is a sample run:

Set A: {a, b, c, d, e, f, g, h, i} List of all 6-permutations: 1: abcdef 2: abcdfe 3: abcfde 4: abcfed etc. 

Note: There should be 60,480 permutations because P(9, 6) = 60,480