If a matrix has 12 elements, then the possible orders it can have, are

(A) 1 × 12
(B) 4 × 3
(C) 6 × 3
(D) 6 × 2

Choose the correct answer from the options given below:

(A), (B) and (D) only

The correct answer is Option (1) → (A), (B) and (D) only

(A) 1 × 12
(B) 4 × 3
(D) 6 × 2

Total elements $= m \times n = 12$.

Possible orders are those pairs $(m,n)$ of natural numbers whose product is $12$.

Factors of $12$: $(1,12), (12,1), (2,6), (6,2), (3,4), (4,3)$.

From given options:

(A) $1 \times 12$ ✔

(B) $4 \times 3$ ✔

(C) $6 \times 3$ ✘ ($6 \times 3 = 18 \ne 12$)

(D) $6 \times 2$ ✔

Correct options: (A), (B), (D)