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The number of solutions to the system of...

The number of solutions to the system of equations `x_1+x_2+x_3+x_4+x_5=20` and `x_1+x_2=15` wher `x_k>=0`

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number of terms
`(x_1,x_2+.....+x_m)^n isn+m-1C_n`
`x_1+x_2_....+x_m=n`
where`x_i>=0`
`x_1+x_2=15,n=15,m=2`
`(x_1+x_2)+x_3+x_4+x_5=20`
`x_3+x_4+x_5=5`
n=5,m=3
...
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