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Mathematics
Problem
If
∣
z
1
−
1
∣
≤
1
|z_1 - 1| \le 1
∣
z
1
−
1∣
≤
1
,
∣
z
2
−
2
∣
≤
2
|z_2 - 2| \le 2
∣
z
2
−
2∣
≤
2
,
∣
z
3
−
3
∣
≤
3
|z_3 - 3| \le 3
∣
z
3
−
3∣
≤
3
, the greatest value of
∣
z
1
+
z
2
+
z
3
∣
|z_1 + z_2 + z_3|
∣
z
1
+
z
2
+
z
3
∣
is a. 6 b. 12 c. 17 d. 23
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