multiset partitions (4,3)

elements in multiset: 4         integer partition: 3 (2+2)

1:    { 1 1 2 2 }
2:    { 1 }{ 1 2 2 }
3:    { 2 }{ 1 1 2 }
4:    { 1 1 }{ 2 2 }
5:    { 1 2 }{ 1 2 }
6:    { 1 }{ 1 }{ 2 2 }
7:    { 1 }{ 2 }{ 1 2 }
8:    { 2 }{ 2 }{ 1 1 }
9:    { 1 }{ 1 }{ 2 }{ 2 }