SOLUTION: Can you help me with this problem "Using 1,2,3,4 >> Fine the sum of all possible 4 digit numbers without repetition" Thanks alot ^_^

Algebra ->  Probability-and-statistics -> SOLUTION: Can you help me with this problem "Using 1,2,3,4 >> Fine the sum of all possible 4 digit numbers without repetition" Thanks alot ^_^      Log On


   



Question 1071231: Can you help me with this problem
"Using 1,2,3,4 >> Fine the sum of all possible 4 digit numbers without repetition"
Thanks alot ^_^

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The number of such 4 digit numbers is
4%2A3%2A2=24 .
For each position (thousands, hundreds, tens, ones),
1,2,3,and 4 are equally likely.
The average of all the 24 thousands digit is 2.5 .
The sum of all the 24 thousands digit is 24%2A2.5=60 ,
and that will also be the sum of all hundreds digits,
the sum of all tens digits, and
the sum of all ones digits.
As a consequence, the sum of all the numbers will be
.