Question 2
Let each of the letters $L,U,C,K,N,W,I,M$ represent a distinct digit from 1 to 9, and let $O$ represent the digit 0. Find the number of solutions to
$$\begin{array}{rrrrr}&L&U&C&K\\+&&N&O&W\\\hline&I&I&M&C\end{array}$$
$$\begin{array}{rrrrr}&L&U&C&K\\+&&N&O&W\\\hline&I&I&M&C\end{array}$$