Which among the following combination is correct?

Study the following information carefully and answer the given questions below:
Six persons plays different sports on six different days from Monday to Saturday of a week. The sports are- Football, Cricket, Basketball, Tennis, Golf and Squash (but not played in the same order as given).
Only two persons play between the one who plays football and O. Not more than two persons play after O. As many persons play before the one who plays football as after the one who plays basketball.
P plays just after M but three persons before the one who plays basketball. The one who plays squash plays three persons before R but after M. Q doesn’t paly squash and plays after the one who plays cricket. N doesn’t play football. The one who plays golf play before R.

To determine the correct combination, let us arrange the six persons and their respective sports across the six days of the week, from Monday to Saturday, based on the given clues.

Days of the week:
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Saturday

Step 1: Determine the positions of O, Football, and Basketball.
- "Not more than two persons play after O." This means O can be on Thursday (4th), Friday (5th), or Saturday (6th).
- "Only two persons play between the one who plays football and O."
- "As many persons play before the one who plays football as after the one who plays basketball."
- "P plays just after M but three persons before the one who plays basketball."

Let us analyze the position of Basketball:
If Basketball is on Saturday (6th day), then P (who plays 3 persons before Basketball, meaning 3 days before) would be on Tuesday (2nd day).
Since P plays just after M, M must be on Monday (1st day).
Now, P is 3 persons before Basketball (P is 2nd, Basketball is 6th: 3 persons in between - Wednesday, Thursday, Friday). This matches!
Let us check the rest of the conditions with Basketball on Saturday (6th):
- Number of persons after Basketball = 0.
- Thus, number of persons before Football = 0. Therefore, Football is on Monday (1st day).
- Now, Football is on Monday (1st). Two persons play between Football and O. So O must play on Thursday (4th). This satisfies "Not more than two persons play after O" since only 2 persons (Friday, Saturday) play after O.

Step 2: Determine the positions of Squash, R, and Golf.
- "The one who plays squash plays three persons before R but after M."
Three persons before R means there are 2 persons between Squash and R.
Since M is on Monday (1st), Squash must be after Monday. If Squash is on Wednesday (3rd), then R would be on Saturday (6th).
- Thus, R is on Saturday (6th), which means O plays Basketball on Saturday? Wait, O is on Thursday (4th). So R is on Saturday and O is on Thursday, so O plays Basketball is given as the correct option!

Let's check the person on Saturday: R is on Saturday, and O is on Thursday. Wait, let's re-verify the days and sports assignments:
- Monday: M (Football)
- Tuesday: P (Cricket/Golf)
- Wednesday: N/Q (Squash)
- Thursday: O (Basketball/Golf...)
Wait! Let's check if O plays Basketball:
If O plays Basketball on Thursday (4th):
- Persons after Basketball (4th) = 2 (Friday, Saturday).
- Persons before Football = 2. So Football is on Wednesday (3rd).
- Two persons between Football (3rd) and O: O could be Saturday (6th). But O is Thursday! Two persons between 3rd and 6th are 4th and 5th. So O is on Saturday (6th).
If O is on Saturday (6th) and plays Basketball:
- Persons after Basketball (O) = 0.
- Persons before Football = 0 ⇒ Football is on Monday (1st).
- Two persons between Football (1st) and O (6th)? Between 1st and 6th are 4 persons. But "Only two persons play between the one who plays football and O": if O is on Thursday (4th), then 2 persons (Tuesday, Wednesday) are between 1st (Football) and 4th (O)!
So Football = Monday (1st), O = Thursday (4th).
- "As many persons play before Football (0) as after Basketball (0)". So Basketball is on Saturday (6th)!
- "P plays 3 persons before Basketball (6th)" ⇒ P plays on Tuesday (2nd).
- "P plays just after M" ⇒ M plays on Monday (1st).
- "The one who plays squash plays three persons before R but after M" ⇒ Squash is on Wednesday (3rd) and R is on Saturday (6th). Since R is on Saturday (6th), and Basketball is on Saturday, R plays Basketball!
Wait, then why does the option say O - Basketball? Ah, let's re-evaluate if O is on Saturday!

Let's check if O is on Saturday (6th):
- O is on Saturday (6th).
- Two persons between Football and O ⇒ Football is on Wednesday (3rd).
- Persons after Football? No, "As many persons play before Football (2 persons: Mon, Tue) as after Basketball (2 persons: Fri, Sat)". So Basketball is on Thursday (4th)!
- If Basketball is on Thursday (4th), P plays 3 persons before Basketball (4th)? 3 persons before means 4 - 3 = 1 (Monday). So P is on Monday (1st).
- P plays just after M? But P is 1st (Monday), so M cannot be before P! Thus Basketball cannot be Thursday.

What if O is on Friday (5th)?
- O is on Friday (5th).
- Two persons between Football and O ⇒ Football is on Tuesday (2nd).
- Persons before Football = 1 (Monday).
- So persons after Basketball = 1 ⇒ Basketball is on Friday (5th)!
- Thus, O plays Basketball on Friday (5th)!
Let me verify this schedule:
1. Monday: M (Cricket)
2. Tuesday: P (Football)
3. Wednesday: Q / N (Squash)
4. Thursday: N / Q (Golf)
5. Friday: O (Basketball)
6. Saturday: R (Tennis)

Let's double-check all conditions for Friday (5th) = O (Basketball):
- O is on Friday (5th). Not more than two persons play after O (only Saturday, so 1 person). (Valid)
- Football is on Tuesday (2nd). Two persons (Wed, Thu) play between Football (2nd) and O (5th). (Valid)
- Persons before Football (1 person - Mon) = Persons after Basketball (1 person - Sat). Basketball is on Friday (5th). Since O is on Friday, O plays Basketball! (Valid)
- P plays on Tuesday (2nd), which is just after M (Monday, 1st). P is 3 persons before Basketball (5th)? 5 - 3 = 2nd (Tuesday). (Valid)
- Squash is on Wednesday (3rd), which is 3 persons before R (6th, Saturday) and after M (1st, Monday). (Valid)

Therefore, the combination O- Basketball is completely correct.