hi frndz...

i have a question..

How many integral solutions exist for

`x1+x2+x3+....x100=100 given that, xi > -i`

i solved this question and have found the answer to be 12758826.

but the answer is not correct.

could someone please help urgently with this.

approach used:-

```
suppose...
x1 + x2 + x3=2
where x1>=-3,
x2>=-1 &
x3>=2
now , i performed....
2-{(-3)+(-1)+(2)}=4
ie.. no: of solutions will be 5+4+3+2+1
ie.. x1 x2 x3
-3 -1 6
-3 0 5
-3 1 4
-3 2 3
-3 3 2
so 5 solutions for x1=-3;
similarly there will be 4 solutions for x1=-2;
similarly there will be 3 solutions for x1=-1;
similarly there will be 2 solutions for x1=0;
similarly there will be 1 solutions for x1=1;
so total solutions will be 15;
```

i applied a similar approach to the problem.

but the answer comes out to be wrong.

am i going wrong somewhere ..pls help