if i understand right, you have to remove some elements from the list to get only sorted permutations.
for (0, 1, 2, 3), if you want 3 elements, sorted:
remove
3: (0, 1, 2)
remove
2: (0, 1, 3)
remove
1: (0, 2, 3)
remove [0]: (1, 2, 3)
extending to a general form, you have to permute the removals:
for (0, 1, 2, 3, 4) want 3 elements:
remove
3,
4: (0, 1, 2)
remove
2,
4: (0, 1, 3)
remove
2,
3: (0, 1, 4)
remove
1,
4: (0, 2, 3)
remove
1,
3: (0, 2, 4)
remove
1,
2: (0, 2, 3)
remove [0],
4: (1, 2, 3)
remove [0],
3: (1, 2, 4)
remove [0],
2: (1, 3, 4)
remove [0],
1: (2, 3, 4)
the remove indexes are the permutations of indexes
0..4 in 2 elements
Oha
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