Pick a number

\[ \begin{array} { l l l l l l } & 4 & 6 & 10 & 14 & 22 & 26 \\ & 6 & 9 & 15 & 21 & 33 & 39 \\ & 10 & 15 & 25 & 35 & 55 & 65 \\ & 16 & 24 & 40 & 56 & 88 & 104 \\ & 18 & 27 & 45 & 63 & 99 & 117 \\ & 20 & 30 & 50 & 70 & 110 & 130 \\ \end{array} \]

Choose 6 numbers from the given table, in such a way that from each row and column, exactly 1 number is chosen.

What is the probability that the product of these numbers is divisible by \(6^5\)?

If the answer is \(p\), give your answer as \(\lfloor 1000p \rfloor \).

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