Question

determine the subsets of D = 1,3,5,7,9

Answer 1

no
of subsets =2 power n
2power5=32

Answer 2

Given ,

D = { 1 , 3 , 5 , 7 , 9 }

n ( D) = 5 .

We know that,

Power set is the set of all subsets of a set.

So, P ( Set ) = 2^n

Now,
p ( D) = 2^5 = 32 .

The subsets of D are

{ Ø }

{ 1 } ,

{ 3 }

{ 5 }

{ 7 }

{ 9 }

{ 1 , 3 }

{ 3 , 5 }

{ 5 , 7 }

{ 7 , 9 }

{ 1 , 5 }

{ 1 , 7 }

{ 1 , 9 }

{ 9 , 5 }

{ 9 , 3 }

{ 7 , 3 }

{ 1 , 3 , 5 }

{ 1 , 5 , 7 }

{ 1 , 7 , 9 }

{ 3 , 5 , 7 }

{ 3 , 7 , 9 }

{ 5 , 7 , 9 }

{ 1 , 3 , 7 }

{ 1 , 3 , 9 }

{ 1 , 5 , 9 }

{ 1 , 3 , 5 , 7 }

{ 1 , 3 , 7 , 9 }

{ 3 , 5 , 7 , 9 }

{ 1 , 3 , 5 , 7 , 9 }

These are some subsets. I have written nearly 20 subsets , but you can find 32 .