Question

How many subsets of at least one element does a set of seven elements have?

Answer 1

• n=7 elemens

total subsets

• 2^n
• 2⁷
• 128

Answer 2

`\boxed{\large{\bold{\blue{ANSWER~:) }}}}`

For each subset it can either contain or not contain an element. For each element, there are 2 possibilities. Multiplying these together we get 27 or 128 subsets. For generalisation the total number of subsets of a set containing n elements is 2 to the power n.