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The number of all possible matrices of order $3×3$ with each entry 2 or 3 is. |
81 27 64 512 |
512 |
Order of matrix $=3\times3$ Total number of entries $=9$ Each entry can be either $2$ or $3$ Number of choices for each entry $=2$ Total possible matrices $=2^9$ $=512$ The number of such matrices is $512$. |
