LIST I (Operation of union) | LIST II (Law) | ||
A. | A∪B=B∪A | I. | Associative Law |
B. | (A∪B)∪C=A∪(B∪C) | II. | Commutative Law |
C. | A∪A=A | III. | Law of Idempotent |
D. | A∪Φ=A | IV. | Law of Identity |
Let \( S = \{p_1, p_2, \dots, p_{10}\} \) be the set of the first ten prime numbers. Let \( A = S \cup P \), where \( P \) is the set of all possible products of distinct elements of \( S \). Then the number of all ordered pairs \( (x, y) \), where \( x \in S \), \( y \in A \), and \( x \) divides \( y \), is _________.