The number of subsets of the power set of A- where A-x- x- -3-x-4 will be

A={x: x∈ℕ 3≤|x|4} But, |x|≥0 (always) ⇒ |x| nbsp; 4 ⇒ x∈( 4,4) Since x∈ℕ A={1,2,3} ⇒ n(A)=3 ⇒ n(P(A)) = 2^3=8 Now, the number of subsets of power set = 2^8= ...

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Standard XII

Mathematics

Number of Different types of Subsets

The number of...

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The number of subsets of the power set of $A$ , where $A = {x : x \in N - 3 \leq | x | < 4}$ will be

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Solution

$A = {x : x \in N - 3 \leq | x | < 4}$
But, $| x | \geq 0$ (always)
$\Rightarrow | x | < 4 \Rightarrow x \in (- 4, 4)$
Since $x \in N$
$A = {1, 2, 3}$
$\Rightarrow n (A) = 3 \Rightarrow n (P (A)) = 2^{3} = 8$
Now, the number of subsets of power set
$= 2^{8} = 256$

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Number of Different types of Subsets

Standard XII Mathematics

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The number of subsets of the power set of A, where A={x:x∈N −3≤|x|<4} will be

A={x:x∈N −3≤|x|<4} But, |x|≥0 (always) ⇒|x|<4⇒x∈(−4,4) Since x∈N A={1,2,3} ⇒n(A)=3⇒n(P(A))=23=8 Now, the number of subsets of power set =28=256

The number of subsets of the power set of $A$ , where $A = {x : x \in N - 3 \leq | x | < 4}$ will be

$A = {x : x \in N - 3 \leq | x | < 4}$
But, $| x | \geq 0$ (always)
$\Rightarrow | x | < 4 \Rightarrow x \in (- 4, 4)$
Since $x \in N$
$A = {1, 2, 3}$
$\Rightarrow n (A) = 3 \Rightarrow n (P (A)) = 2^{3} = 8$
Now, the number of subsets of power set
$= 2^{8} = 256$