If a = (1,2,3)a) write number of subsets of Ab) write p(A) where p(A) is the power set of A.

Answers 2

Given that a = {1,2,3}

a) Now, numbers of subsets will just be 2 raised to the power of no. of elements present in a

→ No. of subsets = 2³ = 8

b) The Power set is defined as the set of all subsets of a

→ p(a) = {{1,2,3},{1,2},{2,3},{1,3},{1},{2},{3},{[tex]{\phi}[/tex]}}

Answer:

a) n(P(a)=[tex] {2}^{3} [/tex] =8

b) P(a)={{ },{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}

Step-by-step explanation:

a) Number of subsets a set can have is

[tex] {2}^{n} [/tex]

where,n is the number of elements of the set.

Subset definition:

The set A is a subsets of B,if every element of A is also an element of the set B.

Therefore,n(p(a))=2³=2×2×2=8.

That is, the set A can have total of 8 subsets.

b) power set definition: The collection of all the subsets of set A can make. It is usually denotes as P(a).

Here,P(a) = { { }, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} }.

मैं स्कूल जाता हूं इसका इंग्लिश में क्या होगा

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