What is the value of $1234 + 2341 + 3412 + 4123$
$\textbf{(A)}\: 10{,}000\qquad\textbf{(B)} \: 10{,}010\qquad\textbf{(C)} \: 10{,}110\qquad\textbf{(D)} \: 11{,}000\qquad\textbf{(E)} \: 11{,}110$
We see that $1, 2, 3,$ and $4$ each appear in the ones, tens, hundreds, and thousands digit exactly once. Since $1+2+3+4=10$, we find that the sum is equal to \[10\cdot(1+10+100+1000)=\boxed{\textbf{(E)} \: 11{,}110}.\]
Note that it is equally valid to manually add all four numbers together to get the answer.
~kingofpineapplz