5. Let the set $M=\{4,9,14,15,19,63,99,124\}$. Find the product of the elements in each non-empty subset (if the subset contains only one element, then that element is the required product), and then find the sum of these products. This sum is equal to ( ).
A. $10^{10}$
B. $1.1214 \times 10^{10}+1$
C. $1.92 \times 10^{11}-1$
D. $2 \times 10^{12}+1$
5. C

Let the elements in $M$ be $a_{1}, a_{2}, a_{3} \cdots a_{8}$, and the required value is $\left(a_{1}+a_{2}+\cdots+a_{8}\right)+$ $\left(a_{1} a_{2}+a_{1} a_{3}+\cdots+a_{1} a_{8}\right)+\left(a_{1} a_{1} a_{3}+\cdots+a_{6} a_{7} a_{8}\right) \cdots+\left(a_{1} a_{2} \cdots a_{8}\right)$, where the brackets represent the sum of individual numbers, the sum of products of pairs, the sum of products of triplets, $\cdots$, the sum of products of seven numbers, and the product of eight numbers.

Let the required sum be $S$, then $S=\left(1+a_{1}\right)\left(1+a_{2}\right) \cdots\left(1+a_{8}\right)-1$, so $S=\left[\prod_{i=1}^{8}\left(1+a_{1}\right)\right]-1=1.92 \times 10^{11}-1$.