To solve this problem, we need to identify the correct Venn diagram that accurately represents the relationships between the categories: PLAYERS, FEMALE CRICKETERS, MALE FOOTBALLERS, and GRADUATES.

Let's analyze each category:

• PLAYERS: This is the overarching category that includes both female cricketers and male footballers.
• FEMALE CRICKETERS and MALE FOOTBALLERS: Both are subsets of PLAYERS, but they do not overlap with each other.
• GRADUATES: This category can intersect with any of the above three categories. A person can be a graduate and also a player, female cricketer, or male footballer.

Now, let's examine the diagram options:

Option A is the correct representation because:

• There is a large circle representing PLAYERS.
• Within the PLAYERS circle, there are distinct circles for FEMALE CRICKETERS and MALE FOOTBALLERS.
• The GRADUATES circle intersects with all the other circles, indicating that graduates can belong to any of the categories.

Other options do not accurately represent these relationships:

• B: Overlaps between FEMALE CRICKETERS and MALE FOOTBALLERS, which shouldn't happen.
• C: Does not allow any intersection with GRADUATES.
• D: Shows unnecessary overlaps that are not part of the problem statement.

Thus, option A is the correct answer.