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Number of Elements in a Cartesian Product

If A and B ar...

Question

If $A$ and $B$ are two sets such that $A = {- 1, 2, 3}, n (A \times B) = 9,$ then $n (B)$ is

A

9

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B

3

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C

6

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D

1

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Solution

The correct option is B $3$
$A = {- 1, 2, 3} \Rightarrow n (A) = 3$
$n (A \times B) = n (A) \cdot n (B) \Rightarrow 9 = 3 \times n (B)$
$\Rightarrow n (B) = 3$

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Number of Elements in a Cartesian Product

Standard XII Mathematics

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