Question

The number of subsets that can be created from the set {1, 2, 3} is:

a.3
b.6
c.7
d.8

Answer 1

The following subsets you can be able to create are:
{1}
{2}
{3}
{1,2}
{1,3}
{2,3}
{1,2,3}
Therefore, there are 7 subsets in all. However, we don't have to list all these possible outcomes because we could waste our time doing this but there is a formula, that is 2^n - 1 where n is a number of elements.

In the given, since there are 3 elements inside the set then we use 2^3 - 1 = 8 - 1 = 7.
See...it's easy.

Answer 2

The correct option is d.

Explanation:

The given set is {1, 2, 3}.

If a set has n elements , then the formula for number of subsets is

Number of subsets =
`2^n`

In the given set the number of elements is 3. So the number of subsets is

Number of subsets =
`2^3=8`

The number of subsets is 8. The subsets are

1. {}

2. {1}

3. {2}

4. {3}

5. {1,2}

6. {1,3}

7. {2,3}

8. {1,2,3}

Therefore the correct option is d.