If v,w,x,y,z are non negative interger each less than 7.then how many distinct combination of (v,w,x,y,z) satisfy

v(7^4) + w(7^3)+ x(7^2) + y(7) + z = 151001

• 151001
  11
  4
  151001114 = 10 with remainder = 4591
  
  4591
  11
  3
  4591113 = 3 with remainder = 598
  
  598
  11
  2
  598112 = 4 with remainder = 114
  
  114
  11
  11411 = 10 with remainder = 4
  
  Therefore
  151001
  =
  10
  (
  11
  4
  )
  +
  3
  (
  11
  3
  )
  +
  4
  (
  11
  2
  )
  +
  10
  (
  11
  )
  +
  4
  151001=10(114)+3(113)+4(112)+10(11)+4
  
  i.e., (v,w,x,y,z) is (10,3,4,10,4). These values satisfies given conditions and is one valid option.
  
  Let's analyze if further option available satisfying the given condition. v,w,x,y,z should be less than 11 and greater than zero. The solution we got have v as 10. Suppose v=9. With this, the maximum value possible under the given constraints is
  9
  (
  11
  4
  )
  +
  10
  (
  11
  3
  )
  +
  10
  (
  11
  2
  )
  +
  10
  (
  11
  )
  +
  10
  =
  146409
  
• 6 years agoHelpfull: Yes(0) No(0)