Subsets | MCQs

Explanation

The set L = {x, y, z} has 3 elements: x, y, z.

The proper subsets are:

1. {x}

2. {y}

3. {z}

4. {x, y}

5. {x, z}

6. {y, z}

7. {}

There are 7 proper subsets.

Explanation

The number of subsets of a set with n elements is 2^n.

Here, X has 5 elements.

Number of subsets = 2^5

= 32

Explanation

A singleton set has only one element (e.g., {a}).

The only proper subset is the empty set (∅), so it has one proper subset.

Explanation

If A is a subset of B (A ⊂ B), then every subset of A is also a subset of B.

This means the power set of A (P(A)) is a subset of the power set of B (P(B)).

Explanation

The empty set ∅ has exactly one subset, which is itself (∅).

Explanation

To find the number of subsets of a set A:

Number of subsets = 2^n

where n is the number of elements in the set.

In this case:

A = {a, e, i, o, u}

n = 5

Number of subsets = 2^5 = 32

Explanation

A power set contains all possible subsets of a given set, including the empty set and the set itself.

Example: If set = {a, b}, then power set = {∅, {a}, {b}, {a, b}}.

Explanation

The number of subsets of a set with n elements is 2^n.

Here, A = {a, b, c} has 3 elements, so:

Number of subsets = 2^3

= 8

The subsets are:

{}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}

Explanation

Number of subsets $=$$2^{}$${}^{}$$=$$2^{}$${}^{}$$=$$8$.

the number of possible subsets as 2^3 = 8.

Let's list all the subsets of set S:

- Subset 1: {} (the empty set)

- Subset 2: {a}

- Subset 3: {b}

- Subset 4: {c}

- Subset 5: {a, b}

- Subset 6: {a, c}

- Subset 7: {b, c}

- Subset 8: {a, b, c}

Explanation

The possible number of subsets of a set with $n$ elements, including the empty set and the universal set, is $2^n$.