Question

The number of subsets that can be created from the set {1, 2, 3} is: 3 6 7 8

Answer 1

6 (1), (2), (3), (1,2), (1,3), and (2,3)

Answer 2

Answer:

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

                                          8

Step-by-step explanation:

We know that for any set with n elements.

The total number of subsets is given by the formula:

                  $Total\ number\ of\ subsets=2^n$

The collection of all the subsets of a set is also known as a Power set.

Here we have a set as: {1,2,3}

i.e. n=3

(There are 3 elements in the set)

Hence, the total number of subsets that can be created by this set will be:

        $2^3=2\times 2\times 2=8$

The power set of this set is given by:

 $Power\ set=\{\ \phi,\ \{1\},\ \{2\},\ \{3\},\ \{1,2,3\},\ \{1,2\},\ \{1,3\},\ \{2,3\}\}$