Linear Single Row North Facing: Worksheet 10 - Expert Practice Linear Single Row North Facing EXPERT

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- A sits second to the right of B → A at position 3
- C sits immediately to the left of A → C at position 2

Position: B C A _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: B C A D E

Verification:
✓ B at extreme end (pos 1)
✓ A second to the right of B (pos 3)
✓ C immediately to the left of A (pos 2)
✓ D not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- C sits second to the right of B → C at position 3
- A sits immediately to the left of C → A at position 2

Position: B A C _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: B A C D E

Verification:
✓ B at extreme end (pos 1)
✓ C second to the right of B (pos 3)
✓ A immediately to the left of C (pos 2)
✓ D not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- C sits second to the right of B → C at position 3
- E sits immediately to the left of C → E at position 2

Position: B E C _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: B E C A D

Verification:
✓ B at extreme end (pos 1)
✓ C second to the right of B (pos 3)
✓ E immediately to the left of C (pos 2)
✓ A not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- B sits second to the right of A → B at position 3
- C sits immediately to the left of B → C at position 2

Position: A C B _ _

Step 3: Apply constraint conditions
- E is not at any extreme end → remaining positions are 4 and 5; E cannot be at 5, so E at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: A C B E D

Verification:
✓ A at extreme end (pos 1)
✓ B second to the right of A (pos 3)
✓ C immediately to the left of B (pos 2)
✓ E not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- E sits second to the right of A → E at position 3
- C sits immediately to the left of E → C at position 2

Position: A C E _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: A C E D B

Verification:
✓ A at extreme end (pos 1)
✓ E second to the right of A (pos 3)
✓ C immediately to the left of E (pos 2)
✓ D not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- E sits at one extreme end → Place E at position 1
- D sits second to the right of E → D at position 3
- B sits immediately to the left of D → B at position 2

Position: E B D _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only C remains → C at position 5

Final Arrangement (all facing North ↑):
Position: E B D A C

Verification:
✓ E at extreme end (pos 1)
✓ D second to the right of E (pos 3)
✓ B immediately to the left of D (pos 2)
✓ A not at extreme end (pos 4)

Answer: C sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- E sits second to the right of A → E at position 3
- D sits immediately to the left of E → D at position 2

Position: A D E _ _

Step 3: Apply constraint conditions
- B is not at any extreme end → remaining positions are 4 and 5; B cannot be at 5, so B at position 4
- Only C remains → C at position 5

Final Arrangement (all facing North ↑):
Position: A D E B C

Verification:
✓ A at extreme end (pos 1)
✓ E second to the right of A (pos 3)
✓ D immediately to the left of E (pos 2)
✓ B not at extreme end (pos 4)

Answer: C sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- A sits second to the right of D → A at position 3
- B sits immediately to the left of A → B at position 2

Position: D B A _ _

Step 3: Apply constraint conditions
- C is not at any extreme end → remaining positions are 4 and 5; C cannot be at 5, so C at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: D B A C E

Verification:
✓ D at extreme end (pos 1)
✓ A second to the right of D (pos 3)
✓ B immediately to the left of A (pos 2)
✓ C not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- E sits second to the right of D → E at position 3
- A sits immediately to the left of E → A at position 2

Position: D A E _ _

Step 3: Apply constraint conditions
- C is not at any extreme end → remaining positions are 4 and 5; C cannot be at 5, so C at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: D A E C B

Verification:
✓ D at extreme end (pos 1)
✓ E second to the right of D (pos 3)
✓ A immediately to the left of E (pos 2)
✓ C not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- E sits at one extreme end → Place E at position 1
- D sits second to the right of E → D at position 3
- C sits immediately to the left of D → C at position 2

Position: E C D _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: E C D A B

Verification:
✓ E at extreme end (pos 1)
✓ D second to the right of E (pos 3)
✓ C immediately to the left of D (pos 2)
✓ A not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- D sits second to the right of C → D at position 3
- B sits immediately to the left of D → B at position 2

Position: C B D _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: C B D A E

Verification:
✓ C at extreme end (pos 1)
✓ D second to the right of C (pos 3)
✓ B immediately to the left of D (pos 2)
✓ A not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- E sits second to the right of D → E at position 3
- C sits immediately to the left of E → C at position 2

Position: D C E _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: D C E A B

Verification:
✓ D at extreme end (pos 1)
✓ E second to the right of D (pos 3)
✓ C immediately to the left of E (pos 2)
✓ A not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- E sits at one extreme end → Place E at position 1
- B sits second to the right of E → B at position 3
- D sits immediately to the left of B → D at position 2

Position: E D B _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only C remains → C at position 5

Final Arrangement (all facing North ↑):
Position: E D B A C

Verification:
✓ E at extreme end (pos 1)
✓ B second to the right of E (pos 3)
✓ D immediately to the left of B (pos 2)
✓ A not at extreme end (pos 4)

Answer: C sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- E sits second to the right of D → E at position 3
- C sits immediately to the left of E → C at position 2

Position: D C E _ _

Step 3: Apply constraint conditions
- B is not at any extreme end → remaining positions are 4 and 5; B cannot be at 5, so B at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: D C E B A

Verification:
✓ D at extreme end (pos 1)
✓ E second to the right of D (pos 3)
✓ C immediately to the left of E (pos 2)
✓ B not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- D sits second to the right of C → D at position 3
- A sits immediately to the left of D → A at position 2

Position: C A D _ _

Step 3: Apply constraint conditions
- B is not at any extreme end → remaining positions are 4 and 5; B cannot be at 5, so B at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: C A D B E

Verification:
✓ C at extreme end (pos 1)
✓ D second to the right of C (pos 3)
✓ A immediately to the left of D (pos 2)
✓ B not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- E sits at one extreme end → Place E at position 1
- B sits second to the right of E → B at position 3
- D sits immediately to the left of B → D at position 2

Position: E D B _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only C remains → C at position 5

Final Arrangement (all facing North ↑):
Position: E D B A C

Verification:
✓ E at extreme end (pos 1)
✓ B second to the right of E (pos 3)
✓ D immediately to the left of B (pos 2)
✓ A not at extreme end (pos 4)

Answer: C sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- D sits second to the right of C → D at position 3
- E sits immediately to the left of D → E at position 2

Position: C E D _ _

Step 3: Apply constraint conditions
- B is not at any extreme end → remaining positions are 4 and 5; B cannot be at 5, so B at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: C E D B A

Verification:
✓ C at extreme end (pos 1)
✓ D second to the right of C (pos 3)
✓ E immediately to the left of D (pos 2)
✓ B not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- E sits at one extreme end → Place E at position 1
- C sits second to the right of E → C at position 3
- A sits immediately to the left of C → A at position 2

Position: E A C _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: E A C D B

Verification:
✓ E at extreme end (pos 1)
✓ C second to the right of E (pos 3)
✓ A immediately to the left of C (pos 2)
✓ D not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- C sits second to the right of A → C at position 3
- B sits immediately to the left of C → B at position 2

Position: A B C _ _

Step 3: Apply constraint conditions
- E is not at any extreme end → remaining positions are 4 and 5; E cannot be at 5, so E at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: A B C E D

Verification:
✓ A at extreme end (pos 1)
✓ C second to the right of A (pos 3)
✓ B immediately to the left of C (pos 2)
✓ E not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- E sits second to the right of C → E at position 3
- A sits immediately to the left of E → A at position 2

Position: C A E _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: C A E D B

Verification:
✓ C at extreme end (pos 1)
✓ E second to the right of C (pos 3)
✓ A immediately to the left of E (pos 2)
✓ D not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).