English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

A five digit number is formed using digits 1,3,5,7 & 9 without repeating any are of these. What is the sum of all such possible numbers?

2007-08-21 22:13:00 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

The possible ways are simply 5!. ©

5! = 120

For each decimal place, 24 of these are of the same digit.

Thus for a decimal place the total value is 24 (1 + 3 + 5 + 7 + 9)
= 600
To get the total value of all these numbers multiply the first result by 11111.

Thus the total value is 6,666,600.

2007-08-21 22:19:10 · answer #1 · answered by Alam Ko Iyan 7 · 5 4

The possible five diget numbers formed is
5x4x3x2x1=120 numbers

The number of times each diget exist in a column
120/5 = 24 x each diget in a column

each column total is
24x(9+7+5+3+1) = 600

This give the sum total as 6666600

2007-08-21 22:33:05 · answer #2 · answered by Francois J V 2 · 1 2

The number of possible combinations is 5! = 120. Each digit will be in each position an equal number of times, namely
5!/5 = 24 times.

So the sum of the digits in the one's place is

24(1+3+5+7+9) = 24*25 = 600

This will be the sum of the digits in each place (one's, ten's, etc.). So the total sum is:

600*11,111 = 6,666,600

2007-08-21 22:22:57 · answer #3 · answered by Northstar 7 · 3 2

i'd guess 6666600. am i right?

thanks for the thumbs down, jackass. I was the first one with the right answer, btw. did it in my head. took me 3 minutes, because i am VERY rusty. i had to relearn basically everything.

i think the guy above me copied his from the guy below

2007-08-21 22:20:09 · answer #4 · answered by The Instigator 5 · 3 6

fedest.com, questions and answers