Functions Question 360

Question: Let $ A={1,2},B={3,4}. $ Then, number of subsets of $ A\times B $ is

Options:

A) 4

B) 8

C) 18

D) 16

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ n(A)=2 $ and $ n(B)=2 $ $ n(A\times B)=n(A)\times n(B)=2\times 2=4 $
$ \therefore $ Number of subset of $ A\times B={2^{n(A\times B)}} $ $ =2^{4}=16 $