State True or False for the statements Let \( \mathrm{A}=\{0,1\} \)...

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State True or False for the statements
Let \( \mathrm{A}=\{0,1\} \) and \( \mathbf{N} \) be the set of natural numbers. Then the mapping
P \( f: \mathbf{N} \rightarrow \) A defined by \( f(2 n-1)=0, f(2 n)=1, \forall n \in \mathbf{N} \), is onto.

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