Let A = [a_ij], where a_ij ∈ ℤ ∩ [0, 4], 1 ≤ i, j ≤ 2. The number… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 31 January, Shift 2Applications of P&C

Let $A = [a_{ij}]$ , where $a_{ij} \in \mathbb{Z} \cap [0, 4]$ , $1 \leq i, j \leq 2$ . The number of matrices $A$ such that the sum of all entries is a prime number $p \in (2, 13)$ is:

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