Step 1: Read both statements carefully.
Statement I: The entry to a profession is not restricted either through an examination or through acquiring an educational degree. Statement II: There is no restriction on anyone being designated or appointed as a manager in any business enterprise irrespective of the educational qualifications possessed.
Step 2: Evaluate Statement I.
A profession is a vocation that requires specialised knowledge, formal education, and often a license or certification granted by a regulatory body after passing certain examinations. For example, a doctor must have an MBBS degree and a lawyer must have an LLB degree. Entry to a profession is therefore strictly restricted through examinations and educational degrees. Statement I says entry is not restricted, which is false. So Statement I is incorrect.
Step 3: Evaluate Statement II.
Management is an evolving field. Unlike medicine or law, there is no law or regulatory body that restricts a person from becoming a manager based on formal educational qualifications. Any person, regardless of whether they hold an MBA or any other degree, can be appointed or designated as a manager in a business enterprise based on their experience, skills, and the employer's discretion. So Statement II is true and correct.
Step 4: Match with the options.
We found that Statement I is false and Statement II is true. This matches option (B).
Step 5: Verify by checking why management is not a full profession.
Management lacks a universal regulatory body that mandates entry qualifications, which is why anyone can be made a manager. This confirms that Statement II correctly captures the current reality of management.
Step 6: Conclude.
The key distinction is that a formal profession (like medicine) restricts entry, while management currently does not enforce such restrictions.
\[ \boxed{ \text{(B) Statement I is false and Statement II is true.} } \]