The number of matrices of order 3 3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is _____.

JEE Main 2022 Mathematics question

The number of matrices of order , whose entries are either 0 or 1 and the sum of all the entries is a prime number, is .

Answer: 282

The sum of the nine entries (each 0 or 1) can be the primes 2, 3, 5 or 7. The number of

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Question ID VK-035161