A community for students.
Here's the question you clicked on:
 0 viewing
suneja
 2 years ago
if x represents the sum of all the positive 3digit nos that can be constructed using each of the distinct non zero digits a,b,c exactly once, wat is the largest integer by wic x must be divisible?
suneja
 2 years ago
if x represents the sum of all the positive 3digit nos that can be constructed using each of the distinct non zero digits a,b,c exactly once, wat is the largest integer by wic x must be divisible?

This Question is Closed

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0see it is clear for the sum of all 3digited number is always divisible by 111

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0total no. of 3 digited nos as per ur question is 504 do u need the highest integer which divides the sum of all 504 numbers? or something else..

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0if i am not wrong the sum of all 3 digited numbers is 279720 with each of the distinct non zero digits a,b,c exactly once it is divisible by integers greater than 222

suneja
 2 years ago
Best ResponseYou've already chosen the best response.1how did u gt tis?? .. bit confused

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0see in any order the each digit 1 through 9 will appear as many as(8X7) times in the unit , tenth and hundredth place

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0now the sum of 1 through 9=45 hence required sum of all reqd + 3digited number is=45*56*(100+10+1)=279720

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0i hope it is clear to u or point where i am making mistake

suneja
 2 years ago
Best ResponseYou've already chosen the best response.1see u might be rite but its jst not helping.... no offense but see its 3digit no so it shud be 9X8X7 Possibilities

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0yes u r correct that is total 504 numbers possible

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0now each of the digits appear 504 /9 =56 times in each column

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0now can u guess the sum total of each of the three columns

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0will it not be 56*(1+2+3....+9)=56*45=2520
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.