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Question

Let A=1,2, B=3,4. Then, the number of subsets of A×B is


A

4

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B

8

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C

18

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D

16

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Solution

The correct option is D

16


Explanation for correct option:

Finding n(A×B):

Given A=1,2, B=3,4

A×B=1,3,1,4,2,3,2,4n(A×B)=4

If Ais a set, then the set of all subsets of A is called the power set of Aand is usually denoted as P(A). The number of elements in P(A) is 2n.

Number of subsets of A×B=24=16
Hence, option (D) is the correct answer.


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