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Number of Subset of a Given Set

If A = x :-2 ...

Question

If $A = {x : - 2 \leq x < 2, x \in Z}$ , then the number of proper subsets of $A$ is

A

14

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B

15

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C

16

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D

31

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Solution

The correct option is B $15$
$A = {- 2, - 1, 0, 1}$
$\Rightarrow n (A) = 4$
$∴$ Number of proper subsets $= 2^{n (A)} - 1 = 15$

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Number of Subset of a Given Set

Standard XII Mathematics

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