# How many subsets can be made from a set of six elements, including the null set and the set itself?

(i) 84(ii) 64(iii) 32

**Solution:**

Option (ii) is the correct answer.

If the set has ‘n’ elements then, the number of subsets of it is given by 2^{n}. Now, the given set has 6 elements.

Therefore, number of subsets =2^{6} = 64

This includes all the subsets including the null set and set itself.

Note: Suppose the question was, the number of subsets excluding the null set and itself then, the number of subsets possible will be equal to 2^{n}- 2 = 62.

## How many subsets can be made from a set of six elements, including the null set and the set itself?

(i) 84(ii) 64(iii) 32

**Summary:**

The subsets that can be made from a set of six elements, including the null set and the set itself, are 64.