# Math Help - Unbounded functions from N to N .

1. ## [SOLVED ]Unbounded functions from N to N .

Hello!

Can someone please explain me why a family of unbounded functions from N to N is uncountable?

Thank you very much!

2. ## Re: Unbounded functions from N to N .

Because there is an injection from $2^{\mathbb{N}}$ to the set of unbounded functions.