List of top Computer Science & Information Technology Questions on Set Theory

Let \( A = \{1, 2, 3\} \). Which of the following is the number of distinct relations on \( A \)?
The set $ S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\} $ is to be partitioned into three sets $ A, B, C $ of equal size. Thus $ A \cup B \cup C = S $, $ A \cap B = B \cap C = A \cap C = \emptyset $. The number of ways to partition $ S $ is
The number of binary relations on a set with 3 elements is
The number of subsets of a set consisting of 10 elements is?