Let A= 2,3,4,5, , 16,17,18 . Let R be the relation on the set A of ordered pairs of positive integers defined by (a, b) R(c, d) if and only if a d=b c for all (a, b),(c, d) in A A . Then, the number of ordered pairs of the equivalence class

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Let A= 2,3,4,5, , 16,17,18 . Let R be the relation on the set A of ordered pairs of positive integers defined by (a, b) R(c, d) if and only if a d=b c for all (a, b),(c, d) in A A . Then, the number of ordered pairs of the equivalence class of (3,2) is

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Correct answer: C. 6

Let (3,2) R(x, y) 3 y=2 x This is possible in the cases aligned & x=3, y=2 & x=6, y=4 & x=9, y=6 & x=12, y=8 & x=15, y=10 aligned x=18, y=12 Hence, total pairs are 6 .

Let A= 2,3,4,5, , 16,17,18 . Let R be the relation on the set A of ordered pairs of positive integers defined by (a, b) R(c, d) if and only if a d=b c for all (a, b),(c, d) in A A . Then, the number of ordered pairs of the equivalence class of (3,2) is

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