Question 130
You start with a number. Every second, you can add or subtract any number of the form $n!$ to your current number to get a new number. In how many ways can you get from $0$ to $100$ in $4$ seconds? ($n!$ is defined as $n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1$, so $1! = 1$, $2! = 2$, $3! = 6$, $4! = 24$, etc.)