Probability

Set Notation

Cardinality: Level 3 Challenges

         

In terms of cardinality, are there more rational or irrational numbers?

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Nihar Mahajan by Nihar Mahajan

The number of "Figure 8's" that you can draw in a plane such that they do not cross each other is...

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Daniel Liu by Daniel Liu

Do there exist uncountably many subsets of the natural numbers such that every pair of the subsets has finite intersection?

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Ivan Koswara by Ivan Koswara

Let Z2[x]\Bbb Z_2[x] denote the set of polynomials with integer coefficients modulo 2.

What is ∣Z2[x]∣|\Bbb Z_2[x]|?

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A Former Brilliant Member by A Former Brilliant Member

True or False?

The cardinality (size) of the set of natural numbers 1,2,3,…1,2,3,\ldots is same as the as the cardinality (size) of the set of even numbers −4,−2,0,2,4,…-4,-2,0,2,4,\ldots.

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Yash Dev Lamba by Yash Dev Lamba
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