anonymous
  • anonymous
How many solutions (using only nonnegative integers) are there to the following equation? x1 + x2 + x3 + x4 + x5 = 36
Mathematics
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anonymous
  • anonymous
How many solutions (using only nonnegative integers) are there to the following equation? x1 + x2 + x3 + x4 + x5 = 36
Mathematics
katieb
  • katieb
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UnkleRhaukus
  • UnkleRhaukus
so, n = 5 r = 36
UnkleRhaukus
  • UnkleRhaukus
C(n + r-1, r) =
anonymous
  • anonymous
I got this far this is what i have. c(40, 36) c(40*39*38*37)(4*3*2*1) from here on out I don't know how to solve it

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UnkleRhaukus
  • UnkleRhaukus
C(40, 36) = (40*39*38*37) / (4*3*2*1) =
UnkleRhaukus
  • UnkleRhaukus
now, cancel common factors,
UnkleRhaukus
  • UnkleRhaukus
= 10 * 13 * 19 * 37
UnkleRhaukus
  • UnkleRhaukus
[ you can use a calculator now ]
anonymous
  • anonymous
91390 Thanx it was the confusing part thanx

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