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Easy

Question

If $A equals open curly brackets ϕ comma open curly brackets ϕ close curly brackets close curly brackets comma$ then the power set of $A$ is

(a) $A$
${ϕ, \{ϕ\}, A}$
$\{ϕ, \{ϕ\}, \{\{ϕ\}\}, A\}$
None of these

The correct answer is: (a) $A$

Related Questions to study

If $A comma B$ and $C$ are three non-empty sets such that $A$ and $B$ are disjoint and the number of elements contained in $A$ is equal to those contained in the set of elements common to the sets $A$ and $C comma$ then $n left parenthesis A union B union C right parenthesis$ is necessarily equal to

If $A comma B$ and $C$ are three non-empty sets such that $A$ and $B$ are disjoint and the number of elements contained in $A$ is equal to those contained in the set of elements common to the sets $A$ and $C comma$ then $n left parenthesis A union B union C right parenthesis$ is necessarily equal to

For real numbers $x$ and $y comma$ we write $x blank R y left right double arrow x minus y plus square root of 2$ is an irrational number. Then, the relation $R$ is

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Consider the following statements:
i) Every reflexive relation is antisymmetric
ii) Every symmetric relation is antisymmetric
Which one among (i) and (ii) is true?

Consider the following statements:
i) Every reflexive relation is antisymmetric
ii) Every symmetric relation is antisymmetric
Which one among (i) and (ii) is true?

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Let $n open parentheses U close parentheses equals 700 comma blank n open parentheses A close parentheses equals 200 comma blank n open parentheses B close parentheses equals 300$ and $n open parentheses A intersection B close parentheses equals 100.$ Then, $n open parentheses A to the power of c end exponent intersection B to the power of c end exponent close parentheses equals$

Let $n open parentheses U close parentheses equals 700 comma blank n open parentheses A close parentheses equals 200 comma blank n open parentheses B close parentheses equals 300$ and $n open parentheses A intersection B close parentheses equals 100.$ Then, $n open parentheses A to the power of c end exponent intersection B to the power of c end exponent close parentheses equals$

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In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, $x percent sign blank$ lost all the four limbs. The minimum value of $x$ is

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If $A equals open curly brackets open parentheses x comma y close parentheses colon y to the power of 2 end exponent equals x semicolon x comma y element of R close curly brackets$ and
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If $A equals open curly brackets open parentheses x comma y close parentheses colon y to the power of 2 end exponent equals x semicolon x comma y element of R close curly brackets$ and
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If $A$ and $B$ are two sets, then $A intersection left parenthesis A union B right parenthesis$ equals

If $A$ and $B$ are two sets, then $A intersection left parenthesis A union B right parenthesis$ equals

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$A comma B$ and $C$ are three non-empty sets. If $A subset of B$ and $B subset of C comma$ then which of the following is true?

$A comma B$ and $C$ are three non-empty sets. If $A subset of B$ and $B subset of C comma$ then which of the following is true?

In rule method the null set is represented by

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Universal set, $U equals left curly bracket x colon x to the power of 5 end exponent minus 6 x to the power of 4 end exponent plus 11 x to the power of 3 end exponent minus 6 x to the power of 2 end exponent equals 0 right curly bracket$
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Then, $left parenthesis A intersection B right parenthesis ´$ is equal to

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And $A equals left curly bracket x colon x to the power of 2 end exponent minus 5 x plus 6 equals 0 right curly bracket B equals left curly bracket x colon x to the power of 2 end exponent minus 3 x plus 2 equals 0 right curly bracket$
Then, $left parenthesis A intersection B right parenthesis ´$ is equal to

If a set $A$ contains $n$ elements, then which of the following cannot be the number of reflexive relations on the set $A ?$

If a set $A$ contains $n$ elements, then which of the following cannot be the number of reflexive relations on the set $A ?$

$left curly bracket n open parentheses n plus 1 close parentheses open parentheses 2 n plus 1 close parentheses colon n element of Z right curly bracket subset of$

$left curly bracket n open parentheses n plus 1 close parentheses open parentheses 2 n plus 1 close parentheses colon n element of Z right curly bracket subset of$

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