How many subsets does the set 1 2 3 have?

The set {1, 2, 3} has a total of 2ⁿ subsets, where n is the number of elements in the set. In this case, the set has 3 elements: 1, 2, and 3.

To calculate the number of subsets, we use the formula:

2ⁿ = 2³ = 8

This means there are 8 possible subsets for the set {1, 2, 3}. The subsets are:

• {}
• {1}
• {2}
• {3}
• {1, 2}
• {1, 3}
• {2, 3}
• {1, 2, 3}

In summary, a set with n elements always has 2ⁿ subsets, including the empty set and the set itself.