Question

find the power set of C ={ p,q,r}​

Answer 1

$\large\bf\underline {To \: find:-}$

• power set of C = { p ,q ,r }

$\large\bf\underline{Given:-}$

• C = { p ,q ,r}

$\huge\bf\underline{Explanation:-}$

Power set:- A power set is a set that contains all sunsets of a given set is called power set.

For finding Number of subsets in a set a formula [2^n] is used for calculating number of subsets in a given set .In which n is used for number of elements in a set.

• {} a null set is a subset of all sets
• null set is denoted by symbol phi (Φ)

$\huge\bf\underline{Solution:-}$

• Finding sunsets of set C
• Set C = {p, q ,r}

Number of elements in set n = 3

Using Formula 2^n

• 2³ = 8

So,

Number of subsets in set C is 8.

⏭️Subsets of set C :-

{p} , {q} , {r} , {pq} , {pr}, {qr}, {Φ} ,{p , q ,r}

⏭️ Power set of set C :-

{{p} ,{q} ,{r} ,{pq} ,{pr}, {qr},{Φ} ,{p , q ,r}}

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Answer 2

$\purple{\bf{\underline{Given:-}}}$

▪C = { p, q, r }

$\pink{\bf{\underline{To\:Find:-}}}$

▪The Power Set of The Given Set

$\huge\red{\bf{\underline{Solution:-}}}$

The subsets of the given set are :-

{p} , {q} , {r} , {p , q} , {q , r} , {r , p} , {p , q , r} , ∅

$\bold\green {\bf {So,\:the\:power\:set\:is:-}}$

★ { {p} , {q}, {r} , {p , q} , {q , r} , {r , p} , {p , q , r} ,∅ }

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Hope It Helps Uh!!! ❤