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Discrete Mathematics Level pending

Find the number of ordered pairs \((a_{1},a_{2},a_{3},a_{4},a_{5},a_{6})\) that satisfy this conditions

  • \(0 \leq a_{1},a_{2},a_{3},a_{4},a_{5},a_{6} \leq 10\)

  • \( \max (a_1, a_2, a_3, a_4, a_5) < a_6 \).

  • \(a_{1},a_{2},a_{3},a_{4},a_{5},\) and \(a_{6}\) are distinct integer numbers.

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