In the regulation of gene expression, this is an incorrect statement

The correct option is "in the bacteria, it permits to replicate with no control".

Understanding Gene Regulation:
Gene expression regulation is a fundamental process in all living organisms that controls when, where, and how much of a specific protein or RNA product is synthesized from a gene. This control is critical for survival, adaptation, and maintaining cell health.

Evaluating the Statements:
1. "in the bacteria, it permits to adapt to changing environments": This is a correct statement. Bacteria rely heavily on gene regulation (such as the lac operon system) to turn metabolic pathways on or off in response to nutrients available in their external environment.
2. "permits the maintenance of homeostasis is multicellular entities": This is a correct statement. Multicellular organisms must maintain a stable internal environment (homeostasis) despite external fluctuations. Regulating gene expression allows cells to respond to physiological signals and maintain equilibrium.
3. "permits the functioning of multicellular entities on the whole": This is a correct statement. In multicellular organisms, differential gene expression allows cells with the same DNA to specialize into different cell types (differentiation) and work together for the survival of the organism.
4. "in the bacteria, it permits to replicate with no control": This statement is incorrect. Replicating with no control is highly disadvantageous and resource-draining. Bacterial replication and growth are strictly regulated and tightly coordinated with environmental conditions and resource availability. Gene regulation is designed to prevent uncontrolled replication and ensure cell resources are used efficiently.

Therefore, the statement claiming that gene regulation permits bacteria to replicate with no control is incorrect, making it the correct option for this question.