Question 135
they are $N$ the number of ordered fives $(a_{1}, a_{2}, a_{3}, a_{4}, a_{5})$ of positive integers that apply $$
\frac{1}{a_{1}}+\frac{1}{a_{2}}+\frac{1}{a_{3}}+\frac{1}{a_{4}}+\frac{1}{a_{5}}=1.
$$ (the order matters with ordered fives, so $(2,3,15,15,30)$ and $(15,2,15,3,30)$ are different ordered fives.) Is $N$ an even or an odd number?
\frac{1}{a_{1}}+\frac{1}{a_{2}}+\frac{1}{a_{3}}+\frac{1}{a_{4}}+\frac{1}{a_{5}}=1.
$$ (the order matters with ordered fives, so $(2,3,15,15,30)$ and $(15,2,15,3,30)$ are different ordered fives.) Is $N$ an even or an odd number?