multiset partitions (4,2)

elements in multiset: 4         integer partition: 2 (3+1)

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