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

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0There should be a total of 9x8x7 numbers to sum up. Do you agree?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0In each of the 3 columns, the numbers 19 are equally represented.

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.1see,,6 nos can be formed using a,b,c now , out of these 6 , a comes 2 times in the first place , 2 times in the 2nd , 2 times in the 3rd same with b and c if we add em all ,, 100(a+b+c)*2 + 10(a+b+c)*2 + (a+b+c)*2 =222(a+b+c) so is the ans 222 ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So, taking the units column, you can sum 1 x (8x7) + 2 x (8x7) + 3 x (8x7) + ... to 9 x (8x7). Get that sum and add to that a similar treatment for the other 2 columns.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@shubhamsrg can u explain y did u pic 100 10.. was lil confuse der

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.1in base 10 notation, suppose 123, we write it as 100(1) + 10(2) + 3 same for abc 100a + 10b +c

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.1in all those 6 nos. 100a will be there 2 times,,100 b 2 times and 100 c 2 times adding em all,, you get what was written above..
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.