How many subsets does the set {1, 2, 3} have?

To determine the number of subsets of a set, we can use the formula 2ⁿ, where n is the number of elements in the set.

In our case, the set {1, 2, 3} has 3 elements. Therefore, we can calculate the number of subsets as follows:

n = 3

Number of subsets = 2³ = 8

This means the set {1, 2, 3} has a total of 8 subsets. These subsets include:

• The empty set: ∅
• Single-element subsets: {1}, {2}, {3}
• Two-element subsets: {1, 2}, {1, 3}, {2, 3}
• The full set: {1, 2, 3}

So, the complete list of subsets is: ∅, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, and {1, 2, 3}. In conclusion, the set {1, 2, 3} has 8 subsets in total.