Because it is not obvious why two packs should have the same number of cards when the floor of one equals the valence of the other, we give an example using packs 6-5-4-3 and 6-5-4, which are enumerated in the table below. Pack 6-5-4-3 is shown by increasing serial, and 6-5-4 decreasing. Within each row of the table, each possible pip count (0, 1, 2, 3, 4, 5 or 6) appears among one card's indices or the other's.
6-5-4-3 pack | 6-5-4 pack | ||
---|---|---|---|
Serial | Index | Index | Serial |
0 | 3-2-1-0 | 6-5-4 | 34 |
1 | 4-2-1-0 | 6-5-3 | 33 |
2 | 4-3-1-0 | 6-5-2 | 32 |
3 | 4-3-2-0 | 6-5-1 | 31 |
4 | 4-3-2-1 | 6-5-0 | 30 |
5 | 5-2-1-0 | 6-4-3 | 29 |
6 | 5-3-1-0 | 6-4-2 | 28 |
7 | 5-3-2-0 | 6-4-1 | 27 |
8 | 5-3-2-1 | 6-4-0 | 26 |
9 | 5-4-1-0 | 6-3-2 | 25 |
10 | 5-4-2-0 | 6-3-1 | 24 |
11 | 5-4-2-1 | 6-3-0 | 23 |
12 | 5-4-3-0 | 6-2-1 | 22 |
13 | 5-4-3-1 | 6-2-0 | 21 |
14 | 5-4-3-2 | 6-1-0 | 20 |
15 | 6-2-1-0 | 5-4-3 | 19 |
16 | 6-3-1-0 | 5-4-2 | 18 |
17 | 6-3-2-0 | 5-4-1 | 17 |
18 | 6-3-2-1 | 5-4-0 | 16 |
19 | 6-4-1-0 | 5-3-2 | 15 |
20 | 6-4-2-0 | 5-3-1 | 14 |
21 | 6-4-2-1 | 5-3-0 | 13 |
22 | 6-4-3-0 | 5-2-1 | 12 |
23 | 6-4-3-1 | 5-2-0 | 11 |
24 | 6-4-3-2 | 5-1-0 | 10 |
25 | 6-5-1-0 | 4-3-2 | 9 |
26 | 6-5-2-0 | 4-3-1 | 8 |
27 | 6-5-2-1 | 4-3-0 | 7 |
28 | 6-5-3-0 | 4-2-1 | 6 |
29 | 6-5-3-1 | 4-2-0 | 5 |
30 | 6-5-3-2 | 4-1-0 | 4 |
31 | 6-5-4-0 | 3-2-1 | 3 |
32 | 6-5-4-1 | 3-2-0 | 2 |
33 | 6-5-4-2 | 3-1-0 | 1 |
34 | 6-5-4-3 | 2-1-0 | 0 |