Question

Let A = 1, 2, 3, 4), B = 2, 3, 4, 5, then n{(A × B)∩(B × A)} = ?
(A) 4
(B) 6
(C) 9
(D) 16​

Answer 1

Answer:

option C (9)

Step-by-step explanation:

AXB={(1,2),(1,3),(1,4),(1,5),(2,2),(2,3),(2,4),(2,5),

(3,2),(3,3),(3,4),(3,5),(4,2),(4,3),(4,4),(4,5)}

2×A={(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),

(4,1),(4,2),(4,3),(4,4),(5,1),(5,2),(5,3),(5,4)}

(A×B)∩(B×A)={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),

(4,2),(4,3),(4,4)}

n((A×B)∩(B×A))=9

option C is correct.

Answer 2

Answer:

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