Question

C= {5} list all subset of C

Answer 1

Power of subset = 2^n where n is power of element.
= 2 ^1 = 2
C={5}
Substes are phi and { 5}

Answer 2

Hey there !

Solution :

We know that subsets are sets which are a part of the given set. They contain some of the elements of the main set ( Universal Set ). They are denoted by  the symbol ⊂.

Example :

 Set A = { 1, 2, 3, 4, 5 }

Set B = { 1, 2, 4 }

Therefore Set B has some elements of Set A. Therefore we can say that Set B is a part of Set A. Hence Set B is a subset of Set A. This can be denoted in equation as :

Set B ⊂ Set A.

Also there is also a term called Power Set. For a given set all the possible subsets of that given set is called the Power set of that Main set.

Example :

Set A = { 1, 2, 3 }

Power Set of A = { 1 }, { 2 }, { 3 }, { ( 1, 2 ) }, { ( 2, 3 ) }, { ( 1, 3 ) },

{ ( 1, 2, 3 ) } and { } or called as Null set ( ∅ ).

So The Power Set of A = 8 ( Cardinal Value )

Power set of a given set can be found out by a formula given below:

Power Set = 2ⁿ, where n = Number of elements.

So in the question, we have

C = { 5 }

So all subsets of C = Power set of C. Hence substituting in the formula we get,

Number of Elements = 1

=> Power set of C = 2¹ = 2 Subsets.

These 2 are : { 5 } and { } or Null set ( ∅ )

Therefore the possible subsets are { 5 } and { }.

Hope it helped :-)