Answer
Using Hamilton's method, every group is assigned either its lower quota or its upper quota. Therefore, Hamilton's method satisfies the quota rule.
Work Step by Step
The quota rule states that a group should be assigned either its lower quota or its upper quota.
Hamilton's method initially assigns every group their lower quota. If there are surplus items to be apportioned, the surplus items are apportioned one by one to the groups which have the largest fractional part in the standard quota. Thus some groups may be assigned their upper quota instead of their lower quota.
Using Hamilton's method, every group is assigned either its lower quota or its upper quota. Therefore, Hamilton's method satisfies the quota rule.