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Write regular expressions for the following languages$:$

- The set of strings over alphabet $\{a,b,c\}$ containing at least one $a$ and at-least one $b.$
- The set of strings of $0's$ and $1's$ whose tenth symbol from the right end is $1.$
- The set of strings of $0's$ and $1's$ with at most one pair of consecutive $1's.$

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