# Don't try to make tired yourself 3

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.

×