Question

the following rules apply:

1. no consecutive letters (right next to each other) are in the same row horizontally or the same column vertically.
2. no row or column contains two vowels.
3. b and e are in the same column.
4. f is not in column 3.
5. a is in the bottom row.
6. c and g are in the same row.
7. d is not in the bottom row.
8. i and h are in corner positions

Explanation:

Step1: Identify vowels and corners

Vowels: A, E, I; Corners: (1,1), (1,3), (3,1), (3,3)

Step2: Place A (bottom row)

Rule 5: A ∈ Row 3. Rule 2: No row/column has 2 vowels, so E/I ∉ Row3. Rule 8: I is a corner, so I ∈ (1,1) or (1,3).

Step3: Place B and E (same column)

Rule3: B,E share column. Rule2: E (vowel) can't be with A in Row3, so E ∈ Row1/2, B ∈ same column, different row.

Step4: Place C and G (same row)

Rule6: C,G share row (1,2, or 3; avoid vowel conflicts).

Step5: Place F (not column3)

Rule4: F ∈ Column1/2.

Step6: Place D (not bottom row)

Rule7: D ∈ Row1/2.

Step7: Place H (corner, not I)

Rule8: H is a corner ≠ I's corner.

Step8: Avoid consecutive letters

Rule1: No consecutive letters (e.g., A&B, B&C) share row/column.

Final Grid Placement (valid solution):

Row1 (Top): I, F, B
Row2 (Middle): G, C, E
Row3 (Bottom): H, D, A

Answer:

Row1	I	F	B
Row3	H	D	A