# What is the cardinality of a set which contains sets within it?

I have a set somewhat like: {a, {b, {c, d} }, {f, g}, h, i}, but how do you go figuring out the cardinality of a set like that which contains sets within it? I’ve been up for days studying and for some reason I can’t wrap my head around set theory right now for my exam…

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## 7 Answers

Its been a little while but I think each set is 1 item. So in your case the cardinality is 5. (Someone correct me if I’m wrong).

I’m inclined to agree with you, @roundsquare, but I just wanted to double check before I went into the exam thinking that (eek!).

WE DON’T DO HOMEWORK FOR YOU HERE!!!

@stratman37, I was expecting something along those lines from at least someone! It seems to come up any time there is a question remotely related to academics. On the contrary, this course doesn’t even HAVE homework. My grade is based 100% on exams. My textbook and notes had nothing about the cardinality of a set in this case, so I thought the best course of action would be to consult an expert on discrete math (as I can’t talk to my professor before the exam, since it’s today!) to determine the right way to go about this should it be on the exam.

And honestly, how many high school students trying to cheat their way through homework do you get asking about set theory? My guess is 0. This is a University-level subject.

I stand (semi) corrected. My bad.

Even if we don’t do people’s homework for them… that doesn’t really mean we can’t try to get them to understand something on their homework right?

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