Final answer:
The House Rules Committee in the House of Representatives determines the number and types of floor amendments allowed, setting important parameters for debates.
Explanation:
The committee that determines issues such as the number and kinds of floor amendments that will be allowed in the House of Representatives is the House Rules Committee. When a bill comes out of the House committee, it must first go through the House Rules Committee, which sets the parameters for the debate, including the nature of the debate, time allocation, and the number of amendments permitted.
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