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# Write down all the subsets of the following sets (i) {a} (ii) {a, b} (iii) {1, 2, 3} (iv) φ

**Solution:**

We say that a set A is a subset of a set B if all the elements of A are also present in B.

Note that Φ represents an empty set (a set without any elements) and hence it is a subset of every set.

Thus,

(i) The subsets of {a} are Φ and {a}.

(ii) The subsets of {a, b} are Φ, {a}, {b} and {a, b} .

(iii) The subsets of {1, 2, 3} are Φ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3} and {1, 2, 3}

(iv) The only subset of Φ is Φ.

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.3 Question 4

## Write down all the subsets of the following sets (i) {a} (ii) {a, b} (iii) {1, 2, 3} (iv) φ

**Summary:**

We found that

**(i)** The subsets of {a} are Φ and {a}

(**ii)** The subsets of {a, b} are Φ, {a}, {b} and {a, b}

**(iii)** The subsets of {1, 2, 3} are Φ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3} and {1, 2, 3}

**(iv)** The only subset of Φ is Φ

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