Sum Minus Product
Algebra
Level
4
How many ordered tuples of 7 integers \( \{ x_i \} _{i=1}^7\) are there, such that
\[ x_1 + x_2 + x_3 + x_4 + x_ 5 + x_6 + x_7 - x_1 x_2 x_3 x_4 x_5x_6x_7= 6,\]
and \(1 \leq x_i \leq 8\).
This problem is proposed by Wei Liang G.
by
Calvin Lin