ABSTRACT

Exercise 1.1 The block representations of the set partitions of [4] are given by 1/2/3/4, 1/2/34, 1/23/4, 1/24/3, 12/3/4, 13/2/4, 14/2/3, 1/234, 12/34, 13/24, 14/23, 123/4, 124/3, 134/2, and 1234.

Exercise 1.2 The block representations of the set partitions of [4] are given by 1111, 1112, 1121, 1122, 1123, 1211, 1212, 1213, 1221, 1222, 1223, 1231, 1232, 1233, and 1234.