Three Piece Positions

Here are the number of 3 piece positions sorted by number of piece types.

3000: 4960
2010: 13020
1020: 11340
0030: 3276

2100: 14880
2001: 13020
1110: 26040
1011: 22800
0120: 11340
0021: 9936

1200: 14880
0210: 13020
1101: 26040
0111: 22800
1002: 11340
0012: 9936

0300: 4960
0201: 13020
0102: 11340
0003: 3276

Total number of positions: 261224