Which statement regarding coenzyme is incorrect?

Every coenzyme is a cofactor and every cofactor is a coenzyme

Every coenzyme is a cofactor but every cofactor is not a coenzyme

Most of the coenzymes are nucleotides and are composed of vitamins

Coenzymes are the active constituents of enzymes

The cofactors which are organic chemicals are known as coenzyme.
Coenzymes are loosely attached to the apoenzyme (Apoenzyme is the protein part of an enzyme).
The tightly bound coenzymes are known as prosthetic group.
For example, a heme group is a prosthetic group consisting of a protoporphyrin ring and a central iron.
So, every coenzyme is a cofactor and every cofactor is not a coenzyme.

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