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Mathematics
Problem
How many ordered pairs of integers
(
x
,
y
)
(x,y)
(
x
,
y
)
satisfy the system
x
+
y
≤
5
x+y\le 5
x
+
y
≤
5
,\;
x
≥
1
x\ge 1
x
≥
1
,\;
y
≥
0
y\ge 0
y
≥
0
?
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