1.Set Theory
easy

જો $A=\varnothing $ હોય, તો $P(A)$ ને કેટલા ઘટકો હશે ?

Option A
Option B
Option C
Option D

Solution

We know that if $A$ is a set with $m$ elements i.e., $n(A)=m,$ then $n[p(A)]=2^{m}$

If $A=\varnothing,$ then $n(A)=0$

$\therefore n[P(A)]=2^{0}=1$

Hence, $P(A)$ has one element.

Standard 11
Mathematics

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