answersLogoWhite

0

If you have a set with "n" elements, you can form 2 to the power n subsets. This is because each element of the original set has two options: to be included, or not to be included, in a subset. So, for instance, for a set with four elements, you have 2 x 2 x 2 x 2 different possibilities to create subsets (2 to the power 4).Note 1: This includes the empty set, and the original set itself.

Note 2: The set of all subsets is known as the power set.

Note 3: It has been proven that the power set (of size 2 to the power n) is ALWAYS larger than the original set (of size n) - even for infinite sets. That means that the power set of an infinite set gives you a larger kind of infinity.

User Avatar

Wiki User

8y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
ReneRene
Change my mind. I dare you.
Chat with Rene
More answers

There can be infinitely many subsets: any collection of things or ideas can be a set, for example, {pi, green, 39, Rome, Mandela} is a set.

User Avatar

Wiki User

8y ago
User Avatar

Add your answer:

Earn +20 pts
Q: How many subset can you form in algebra?
Write your answer...
Submit
Still have questions?
magnify glass
imp