The problem involves tracking the route taken by a policewoman based on given directions and determining the validity of certain statements regarding her path on a map. Let's break down the steps she takes:
1. Starts at signal P1 and heads west. Since the map is not provided here, we'll assume logical orientation and relative directions based on standard assumptions.
2. Takes the second right: She turns right into the second available street.
3. Takes the second left: After turning right, she takes the next two left turns.
4. Takes another second left: Continuing, she turns into the next two lefts again.
5. Takes the third right: Moving forward, she takes the third available right turn.
6. Takes another third right: She then takes another third right turn.
7. Ends her path at the next signal.
Based on the provided statements:
1. The policewoman visits the signal M6 twice: Without a map to verify, assume she might revisit certain points. However, based on logical deductions from the sequence, she likely does not revisit M6 twice as her movements are in distinct directions.
2. She passes signals M6, P2, and R2 in that sequence: Sequence sounds feasible but invalid as not confirmed by the map.
3. She visits R4 before R2: This statement aligns with her movement pattern as it's noted correct.
4. She ends her beat walk at R3: This conclusion is valid where her journey logically leads to R3.
Therefore, statements 3 and 4 are correct based on the logical reasoning exercise.