# Fun with digits

**Number Theory**Level 2

Let \(A\) be a \(2n\)-digit number whose digits are all \(1\)'s and let \(B\) be a \(n\)-digit number whose digits are all \(2\)'s.

Then which of the following options is true :

Let \(A\) be a \(2n\)-digit number whose digits are all \(1\)'s and let \(B\) be a \(n\)-digit number whose digits are all \(2\)'s.

Then which of the following options is true :

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