Question 20
Find the exact value of the expression below:
$$
\frac{(6!+5!)(5!+4!)(4!+3!)(3!+2!)(2!+1!)}{(6!-5!)(5!-4!)(4!-3!)(3!-2!)(2!-1)!}
$$
if $n!$ denotes the product $1 \cdot 2 \cdot 3 \cdots n$ for every natural number $n$.
$$
\frac{(6!+5!)(5!+4!)(4!+3!)(3!+2!)(2!+1!)}{(6!-5!)(5!-4!)(4!-3!)(3!-2!)(2!-1)!}
$$
if $n!$ denotes the product $1 \cdot 2 \cdot 3 \cdots n$ for every natural number $n$.