jiteshmeghwal9
  • jiteshmeghwal9
\The total no. of integral solutions of equation \(x+y+z+t=29\) where \[x \ge 1, y \ge 2, z \ge 3,t \ge 0\]
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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ParthKohli
  • ParthKohli
Let \(x = a+1\), \(y = b+2\), \(z = c+3\) where \(a \ge 0, b\ge 0, c\ge0\). Now we have\[a+1+b+2+c+3+t=29\]\[\Rightarrow a + b + c + t = 23\]where all variables are nonnegative
ParthKohli
  • ParthKohli
\[\binom{23+4-1}{4-1}\]Accordingly, this is the answer.
jiteshmeghwal9
  • jiteshmeghwal9
yes |dw:1446794720705:dw|

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Spring98
  • Spring98
wowza that is hard
Empty
  • Empty
That was a clever trick to make all the variables the same like that, cool.
zzr0ck3r
  • zzr0ck3r
I will name my first born Parth

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