Permutations and Combinations: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q42

JEE Main 202227 Jun, Evening shiftMathematicsMediumPermutations and Combinations98× since 2002

Let A be a matrix of order 2

\times

2, whose entries are from the set {0, 1, 2, 3, 4, 5}. If the sum of all the entries of A is a prime number p, 2 < p < 8, then the number of such matrices A is ___________.

Your answerType your answer. Integers and decimals are accepted.

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