how many non negative integer solutions for X and Y exist if X+Y=100

Question

Answer 1

The answer is 101,
As they specified non negative , we need to also consider 0 in this case.
0+100
1+99
2+98
.........
0+100

hence the values (x,y) take are between (0,100) to (100,0) , counting them we get 101.

Answer 2

The answer is 101,
As they specified non negative , we need to also consider 0 in this case.
0+100
1+99
2+98
.........
0+100

hence the values (x,y) take are between (0,100) to (100,0) , counting them we get 101.

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how many non negative integer solutions for X and Y exist if X+Y=100