Question 35
Let $a_1,a_2,\ldots,a_{10}$ be an arrangement of the numbers 1,2,3,4,5,6,7,8,9,10 such that
(i) $a_1+a_2+a_3=a_4+a_5+a_6=a_7+a_8+a_9$, and
(ii) the number $a_{10}$ is even and not equal to 10.
How many such arrangements are there?
(i) $a_1+a_2+a_3=a_4+a_5+a_6=a_7+a_8+a_9$, and
(ii) the number $a_{10}$ is even and not equal to 10.
How many such arrangements are there?