Which of the following sets is countable? cantor set , set of all real numbers , set of all rational numbers , set of irrational numbers
- Cantor set
- Set of all real numbers
- Set of all rational numbers
- Set of irrational numbers
Explanation
The only countable set is the set of all rational numbers
A set is countable if its elements can be put into a one-to-one correspondence with the natural numbers.
Rational numbers can be expressed as a fraction frac{p}{q}, where p and q are integers and q is not zero.
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