Explanation:

Let's break down the clues:

- There are 12 people and 7 houses (numbered 1-7 from west to east).

- Each house must hold 1-3 people.

- F lives in house 2.

- D lives in a prime numbered house (2, 3, 5, or 7).

- Four people live to the west of D. So, D is the 5th person (from the west) in total.

- G lives to the west of D but not with F (so G is before D, not in house 2).

- The number between S and M is the same as between M and D, and S is to the west of M.

- W is an immediate neighbor of M.

- There are six people between M and Q.

- Q lives in an even-numbered house.

- P lives alone in an even-numbered house.

- Only one person between C and N, and N does not live at the extreme end.

- A and B live together somewhere between W and Q.

Let’s focus on the main question: How many people live between S and Q?

- Since there are only 12 people and seven houses, there cannot be “more than seven” (the given maximum is 7 houses, so max 11 people between two). Counting more than 7 people between any two named people seems impossible under these constraints.

- With 6 people between M and Q, and deduction from above, the possible valid maximum between S and Q can’t be more than 7.

Now, evaluating the options:

- Four — Possible (if they are not too far apart)

- Five — Possible

- Six — With "six between M and Q" implies S…M…Q spacing, but S must be to the west of M.

- Seven — Possible, but seems unlikely due to the person distribution.

- More than Seven — Impossible with only 12 people.

Final Answer:

Option 3, Six

- Six people are between S and Q, based on statement "There are six people between M and Q." With S before M, this fits best.

- *Option 3 is correct: Six.*

- The clues point to this spacing, because adding more would surpass the count of available people.

Key highlights:

- Distribution is too tight for "more than seven."

- Clues directly help place M and Q, and then S in relation.

- Correct answer: Option 3 – Six