anonymous
  • anonymous
if x represents the 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, wat is the largest integer by wic x must be divisible?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
no its 222
anonymous
  • anonymous
see it is clear for the sum of all 3-digited number is always divisible by 111
anonymous
  • anonymous
total 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..

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anonymous
  • anonymous
if 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
anonymous
  • anonymous
?? r u there
anonymous
  • anonymous
how did u gt tis?? .. bit confused
anonymous
  • anonymous
see in any order the each digit 1 through 9 will appear as many as(8X7) times in the unit , tenth and hundredth place
anonymous
  • anonymous
now the sum of 1 through 9=45 hence required sum of all reqd + 3digited number is=45*56*(100+10+1)=279720
anonymous
  • anonymous
i hope it is clear to u or point where i am making mistake
anonymous
  • anonymous
see u might be rite but its jst not helping.... no offense but see its 3digit no so it shud be 9X8X7 Possibilities
anonymous
  • anonymous
yes u r correct that is total 504 numbers possible
anonymous
  • anonymous
k then
anonymous
  • anonymous
now each of the digits appear 504 /9 =56 times in each column
anonymous
  • anonymous
do u agree
anonymous
  • anonymous
k
anonymous
  • anonymous
now can u guess the sum total of each of the three columns
anonymous
  • anonymous
will it not be 56*(1+2+3....+9)=56*45=2520
anonymous
  • anonymous
am i correct...

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