Question

*जर P = { a, b, c, d, e } तर खालीलपैकी P चा उपसंच कोणता?*

1️⃣ { }
2️⃣ {a, b, f }
3️⃣ {c, d, a, g }
4️⃣ { 0 }​

Answer 1

Answer :- (1) { }

Explanation :-

given that,

→ P = {a, b, c, d, e}

checking given options now,

(1) { }

→ { } = Null set

• since we know that, a null set or empty set is subset of every set .

therefore, we can conclude that, { } is a subset of P .

(2) {a, b, f}

→ P = {a, b, c, d, e}

as we can see that, f is not an element of P or { f } is a subset of given set but not a subset of P .

therefore, we can conclude that, {a, b, f} is not a subset of P .

(3) {c, d, a, g}

→ P = {a, b, c, d, e}

as we can see that, g is an element of given set but not an element of P or , { g } is a subset of given set but not a subset of P .

therefore, we can conclude that, {c, d, a, g} is not a subset of P .

(4) { 0 }

→ P = {a, b, c, d, e}

as we can see that, {0} is an element of given set but not a element of P .

therefore, we can conclude that, Option (1) { } is a subset of given set P .

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If P = { a, b, c, d, e } then which of the following sets is subset of P

1. { }

2. {a, b, f }

3. {c, d, a, g }

4. { 0 }

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

SUBSET :

A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T

EVALUATION

Here the given set is

P = { a, b, c, d, e }

CHECKING FOR OPTION : 1

The set is { }

The set is empty set

Since there is no element

So { } is a subset of P

CHECKING FOR OPTION : 2

Here the set is {a, b, f }

f is an element of {a, b, f } but not an element of P

So {a, b, f } is not a subset of P

CHECKING FOR OPTION : 3

Here the set is {c, d, a, g }

g is an element of {c, d, a, g } but not an element of P

So {c, d, a, g } is not a subset of P

CHECKING FOR OPTION : 4

Here the set is { 0 }

0 is an element of { 0 } but not an element of P

So { 0 } is not a subset of P

FINAL ANSWER

Hence the correct option is 1. { }

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