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Question: If \(A = \{ 2,4,5 \} , B = \{ 7,8,9 \}\) then \(n ( A \times B )\) is equal to...

If A={2,4,5},B={7,8,9}A = \{ 2,4,5 \} , B = \{ 7,8,9 \} then n(A×B)n ( A \times B ) is equal to

A

6

B

9

C

3

D

0

Answer

9

Explanation

Solution

A × B = {(2, 7), (2, 8), (2, 9), (4, 7), (4, 8), (4, 9), (5, 7), (5, 8), (5, 9)}

n(A × B) = n(1) . n(2) = 3 × 3 = 9.