Selected!!! 
Round robing based on wiki:
https://en.wikipedia.org/wiki/Round-robin_tournament#Scheduling_algorithm
http://stackoverflow.com/questions/41896889/algorithm-to-schedule-people-to-an-activity-that-should-be-done-in-pairs

14
25
36

12
34
65

13
62
54

16
53
42

15
46
23

14
25
36

With empty slot
15
26
37
4x

12
35
46
x7

13
42
x5
76

14
x3
72
65

1x
74
63
52

With random disruptions!!!
Theory: 
To add person: keep track of the permutation in which the person was added. When reading, calculate all permutations up to that point and then add after the first pair. Then calculate next.

14
25
36

12
7x
34
65

17
32
6x
54

Remove a person for one time (5 inactive second pair) Also keep track of the permutation it become inactive and change with the next one for that round

-5 Inactive
13    13
67    67
52    42
4x    5x

-6 Inactive
16    13
53    56
47    47
x2    x2

15
46
x3
27

To permaently remove, do the same as permanently add. Keep track of the permutation.


[[1,2],[1,3],[1,4],[1,5],[1,6],[2,3],[2,4],[2,5],[2,6],[3,4],[3,5],[3,6],[4,5],[4,6],[5,6]]

1 4
2 5
3 6

1 5
2 6
3 4

1 6
2 4
3 5

6 4
2 5
3 1

6 5
2 1
3 4

6 1
2 4
3 5

6 2
4 5
3 1

6 5
4 1
3 2



[[1,2],[1,3],[1,4],[2,3],[2,4],[3,4]]

1 3
2 4

1 4
2 3
---

4 3
2 1

4 1
2 3
---

4 2
3 1

4 1
3 2


[[1,2],[1,3],[1,4],[1,5],[2,3],[2,4],[2,5],[3,4],[3,5],[4,5]]

1 3
2 4    5

1 4
2 5    3

1 5
2 3    4

5 3
2 4    1

5 4
2 1    3

5 1
2 3    4

5 2
3 4    1

5 4
3 1    2

5 1
3 2    4





