WOLFRAM|DEMONSTRATIONS PROJECT

Young Tableaux

Combinatorica`n

1

2

3

Combinatorica`m

1

2

3

l

1

2

3

view

numbers

array

1	4	6
2	5
3

1	3	6
2	5
4

1	2	6
3	5
4

1	3	6
2	4
5

1	2	6
3	4
5

1	4	5
2	6
3

1	3	5
2	6
4

1	2	5
3	6
4

1	3	4
2	6
5

1	2	4
3	6
5

1	2	3
4	6
5

1	3	5
2	4
6

1	2	5
3	4
6

1	3	4
2	5
6

1	2	4
3	5
6

1	2	3
4	5
6

In a Young tableau, the first

n+m+l

natural numbers are arranged so that they form an increasing sequence along each row and along each column.