Fifty random assignments of 5 As and 5 Bs to the digits 1--10.

 

 

0

1
2
3
4
5
6
7
8
9
10
B
A
A
B
B
A
A
A
B
B

1

1
2
3
4
5
6
7
8
9
10
B
B
B
A
A
A
A
A
B
B

 

2

1
2
3
4
5
6
7
8
9
10
B
B
A
B
A
B
A
A
A
B

 

3

1
2
3
4
5
6
7
8
9
10
B
A
A
A
A
A
B
B
B
B

 

4

1
2
3
4
5
6
7
8
9
10
B
A
B
A
B
A
B
A
A
B

 

5

1
2
3
4
5
6
7
8
9
10
A
B
A
A
B
A
A
B
B
B

 

6

1
2
3
4
5
6
7
8
9
10
A
A
A
B
B
A
B
B
A
B

 

7

1
2
3
4
5
6
7
8
9
10
A
B
A
B
B
A
B
A
B
A

 

8

1
2
3
4
5
6
7
8
9
10
B
A
B
B
A
A
B
A
A
B

 

9

1
2
3
4
5
6
7
8
9
10
A
A
B
B
B
B
A
A
B
A

 

10

1
2
3
4
5
6
7
8
9
10
A
A
B
A
A
B
B
B
B
A

 

11

1
2
3
4
5
6
7
8
9
10
A
B
A
B
B
B
A
B
A
A

 

12

1
2
3
4
5
6
7
8
9
10
A
B
B
B
A
B
B
A
A
A

 

13

1
2
3
4
5
6
7
8
9
10
B
A
A
A
A
B
A
B
B
B

 

14

1
2
3
4
5
6
7
8
9
10
B
B
B
B
A
A
A
A
A
B

 

15

1
2
3
4
5
6
7
8
9
10
A
B
A
B
A
A
B
B
A
B

 

16

1
2
3
4
5
6
7
8
9
10
B
B
B
B
A
A
A
A
B
A

 

17

1
2
3
4
5
6
7
8
9
10
B
A
B
A
A
A
B
B
A
B

 

18

1
2
3
4
5
6
7
8
9
10
B
A
B
B
A
A
A
B
A
B

 

19

1
2
3
4
5
6
7
8
9
10
B
B
B
B
A
A
A
B
A
A

 

20

1
2
3
4
5
6
7
8
9
10
B
B
A
A
B
B
B
A
A
A

 

21

1
2
3
4
5
6
7
8
9
10
B
A
B
B
A
B
A
A
A
B

 

22

1
2
3
4
5
6
7
8
9
10
B
A
B
A
B
A
A
B
B
A

 

23

1
2
3
4
5
6
7
8
9
10
B
B
A
A
A
A
B
B
B
A

 

24

1
2
3
4
5
6
7
8
9
10
B
A
B
A
A
B
B
B
A
A

 

25

1
2
3
4
5
6
7
8
9
10
A
A
B
B
A
B
B
A
B
A

 

26

1
2
3
4
5
6
7
8
9
10
A
A
B
A
B
B
B
A
B
A

 

27

1
2
3
4
5
6
7
8
9
10
B
A
B
A
A
A
A
B
B
B

 

28

1
2
3
4
5
6
7
8
9
10
A
B
A
A
B
A
A
B
B
B

 

29

1
2
3
4
5
6
7
8
9
10
B
A
B
B
B
A
B
A
A
A

 

30

1
2
3
4
5
6
7
8
9
10
B
B
A
A
B
A
B
A
A
B

 

31

1
2
3
4
5
6
7
8
9
10
A
B
A
B
A
B
B
A
B
A

 

32

1
2
3
4
5
6
7
8
9
10
A
B
B
A
B
A
A
B
B
A

 

33

1
2
3
4
5
6
7
8
9
10
B
B
A
A
A
A
B
B
A
B

 

34

1
2
3
4
5
6
7
8
9
10
B
B
A
B
A
A
A
A
B
B

 

35

1
2
3
4
5
6
7
8
9
10
B
A
A
B
A
B
B
A
A
B

 

36

1
2
3
4
5
6
7
8
9
10
A
B
B
B
A
A
B
A
B
A

 

37

1
2
3
4
5
6
7
8
9
10
B
A
B
B
A
A
A
B
A
B

 

38

1
2
3
4
5
6
7
8
9
10
B
B
B
B
A
B
A
A
A
A

 

39

1
2
3
4
5
6
7
8
9
10
A
A
B
B
A
B
B
A
B
A

 

40

1
2
3
4
5
6
7
8
9
10
A
B
B
A
B
B
B
A
A
A

 

41

1
2
3
4
5
6
7
8
9
10
B
A
A
B
A
B
B
A
A
B

 

42

1
2
3
4
5
6
7
8
9
10
A
B
B
A
A
A
B
B
A
B

 

43

1
2
3
4
5
6
7
8
9
10
B
A
A
A
B
A
B
B
A
B

 

44

1
2
3
4
5
6
7
8
9
10
A
B
A
B
B
B
A
A
B
A

 

45

1
2
3
4
5
6
7
8
9
10
B
B
A
B
A
A
B
B
A
A

 

46

1
2
3
4
5
6
7
8
9
10
A
B
B
A
A
A
B
B
A
B

 

47

1
2
3
4
5
6
7
8
9
10
A
A
B
B
A
A
B
B
B
A

 

48

1
2
3
4
5
6
7
8
9
10
B
A
B
A
A
B
A
B
A
B

 

49

1
2
3
4
5
6
7
8
9
10
B
B
A
B
A
A
B
A
B
A