Four Digit Sum
Algebra
Level
1
\[ \begin{array} { ccccccc }
1234 & 1243 & 1324 & 1342 & 1423 & 1432 \\
\vdots & & & & & \vdots \\
4123 & 4132 & 4213 & 4231 & 4312 & 4321 \\
\end{array} \]
The 24 distinct 4-digit numbers above have been listed out by arranging 1, 2, 3, and 4 in different orders. What is the sum of these 24 numbers?
\(\)
Hint: You do not need to list out all 24 numbers to find the sum.
From: Derek Niederman's Math Puzzles for the Clever Mind
by
Deva Craig