Chat with our AI personalities
7.
A set of four elements has 24 subsets, since for every element there are two options: it may, or may not, be in a subset. This set of subsets includes the empty set and the original set, and everything in between.
7 To make it a bit more intuitive, think of it like this: If you have a set of 7 elements, you can "turn it into" a set of 6 elements by removing one of the elements. So, in how many ways can you remove an element from the set of 7 elements, without making the same 6-element set more than once?
Oh, isn't that a happy little question! With 7 elements, you can create many arrays by arranging them in different orders. The number of different arrays you can make out of 7 elements is 5040. Just imagine all the beautiful possibilities waiting to be painted on your canvas of creativity!
7