SOLUTION: Find the sum of all five-digit that can be formed by using the digits 2,3,5,7 and 8,where each of these digits appears in each number.

Question 1021015: Find the sum of all five-digit that can be formed by using the digits 2,3,5,7 and 8,where each of these digits appears in each number.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
There are 5! = 120 different five-digit numbers that can be formed from the numbers 2, 3, 5, 7, 8.
Note that in each place (in the ten-thousands place, for example), a digit appears exactly 4!=24 times.
The sum of all numbers in the ten-thousands place only is (2*24+3*24+5*24+7*24+8*24)*10,000 = (2+3+5+7+8)24*10,000 = 6,000,000.
The sum of all numbers in the thousands place only is (2*24+3*24+5*24+7*24+8*24)*1,000 = (2+3+5+7+8)24*1,000 = 600,000.
The sum of all numbers in the hundreds place only is (2*24+3*24+5*24+7*24+8*24)*100 = (2+3+5+7+8)24*100 = 60,000.
The sum of all numbers in the tens place only is
(2*24+3*24+5*24+7*24+8*24)*10 = (2+3+5+7+8)24*10 = 6,000.
The sum of all numbers in the ones place only is
(2*24+3*24+5*24+7*24+8*24)*1 = (2+3+5+7+8)24*1 = 600.
Therefore the sum of all the numbers is the sum all the numbers determined above, which is 6,666,600.
RELATED QUESTIONS
Find the sum of all five-digit numbers that can be formed by using the digits 2,3,5,7 and (answered by KMST)

find the sum of all 5 digit numbers that can be formed by using the digits 2,3,5,7 and 8, (answered by Edwin McCravy)

24 numbers can be formed using the digits 4,6,5and 8 where each digit is used only once.... (answered by math_helper)

All six digit numbers that can be formed using the digits 2 3 5 6 7 and 9 are written.... (answered by solver91311)

PLS HELP... ASAP... 1. Write all the three digit numbers using the digits 4,6 and 8... (answered by edjones)

Eight cards each have a single digit written on them. The digits are 2, 2, 4, 5, 7, 7, 7, (answered by Edwin McCravy)

Find the sum of all five-digits numbers that are formed by using 1,2,3,4 and 5 once and... (answered by Edwin McCravy)

A security code is to be formed by using three alphabets and four digits chosen from the (answered by Edwin McCravy)

Find all sum of all possible 4 digit numbers that can be formed using th digits 2,4,5,6,7 (answered by greenestamps,ikleyn)