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## Homework Statement

Prove that {0,1}

^{N}is uncountable.

(

**N**= positive integers)

## Homework Equations

f:

**N**-> {0,1}

## The Attempt at a Solution

f(n) = 0 or 1 for every n is an element of

**N**.

I should treat n as the nth term of an infinitely long sequence of 0's and 1's.