if x.y and z can only take the values 1,2,3,4,5,6,7 then find the number of solution of the equation x+y+z=12

• (1,4,7),(1,5,6),(2,3,7),(2,4,6),(2,5,5),(3,4,5),(3,6,3),(4,4,4)====>>>
  6+6+6+6+3+6+3+1=37.
• 11 years agoHelpfull: Yes(67) No(9)
• 1-->147,156,165,175=4
  2-->237,246,255,264,273=5
  3-->327,...............=6
  4-->......................=7
  5-->...................=6
  6-->.................=5
  7-->.................=4
  total=37
  
• 11 years agoHelpfull: Yes(21) No(0)
• its 37 :)
  741,732,723,714,651,642,633,624,615,561,552,543,534,525,516--------------------------
• 11 years agoHelpfull: Yes(3) No(0)
• (1,4,7),(1,5,6),(1,6,5),(1,7,4),(2,3,7),(3,2,7),(4,1,7),(5,1,6),(6,1,5),(7,1,4)
  ans=10.
• 11 years agoHelpfull: Yes(2) No(17)
• (1,4,7),(1,5,6),(1,6,5),(1,7,4)...> if x can take 1 only(4 possibilities)
  (2,3,7),(2,4,6),(2,5,5),(2,6,4),(2,7,5)....> if x can take 2 only(5 possibilities)
  if x can take 3 only (6 possi)
  .............. 4 only (7 possi)
  ...............5 only (8 possi)
  ............6 only (7 possi)
  ........7 only (6 possi)
  so adding these possibilities are we will get 43
• 11 years agoHelpfull: Yes(2) No(7)
• it should be 7x7x7=343
• 11 years agoHelpfull: Yes(0) No(22)
• 57
  19 soln for x=i where i=1,2,3...7. Similarly 19 for y, 19 for z.
• 11 years agoHelpfull: Yes(0) No(6)
• AGREE WITH SIVARAMAKRISHNA..!!!
  and how cum itz 343 @syed..!!
• 11 years agoHelpfull: Yes(0) No(8)
• If repetition of digits in not allowed then answer will be 30
  else answer will be 37 as told by "SIVARAMAKRISHNA"
• 11 years agoHelpfull: Yes(0) No(0)
• if repetition of no allowed then ans:-37
  other wise 30.
• 9 years agoHelpfull: Yes(0) No(0)