If |z(1)-1|lt 1,|z(2)-2|lt 2,|z(3)-3|lt ...

If `|z_(1)-1|lt 1,|z_(2)-2|lt 2,|z_(3)-3|lt 3`, then `|z_(1)+z_(2)+z_(3)|`

A

is less than 6

B

is more than 3

C

is less than 12

D

lies between 6 and 12

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