The digits 1,2,3, and 4 can be arranged to form 24 different four-digit numbers. What is the sum of all 24 numbers?

Question

anonymous · Answer

1 will be used in the ones place 6 times, 
2 will be used in the ones place 6 times
3 will be used in the ones place 6 times and 
4 will be used in the ones place 6 times

when you add you will get for the ones place $6(1+2+3+4)=60$

anonymous · Answer

repeat the process for the tens, hundreds and thousands and add
there maybe a snappier way to do this, but i think this will give you the answer quickly